America's Wonderlands Logic Puzzle Solutions

Logic Puzzle Solutions

Gila Wilderness Area, New Mexico

gemma

look at the shadow caused by the sun when it is directly over your tent

Julius

Use your supplies to measure the height of the tree and then measure the distance from the base of the tree to your tent.

Julius

Use your supplies to measure the height of the tree and then measure the distance from the base of the tree to your tent.

Torizo

You know how tall you are, so measure how long your shadow is (you can do this by standing away from some marker until the top of your shadow reaches the marker, then measure how far you are standing from this marker). Measure how long the shadow of the tree is. Since the angle off the ground from the tip of the shadow is the same, you can use math at this point. Say x is the height of the tree, x1 is the length of the tree's shadow, y is your height, and y1 is the length of your shadow. tan(y/y1)=tan(x/x1) , so y/y1=x/x1, meaning x=(x1*y)/y1 . This means that the height of the tree is equal to the length of it's shadow times your height, divided by the length of your shadow. Then measure the distance to the tent from the tree and you know whether it's a safe distance away.

JAMES alexander

measure the shadow of yourself since you know how tall you are then count out that many distances of the shadow of the tree

you can find out what direction the wind is blowing and move to the oposite direction that the wind is blowing.

PERIOD 5 FORENSICS

Begin with prayer and fasting, then check the wind, and look at the shadow and then move it anyways just to be careful....also look up and see how tall the tree is... Good Luck!!

Jaymie

Stand quite far away from the dead tree till you can see the whole tree's height.

outdoor savvy

1. Strike tent and remove all gear from immideate area of tree. 2. Cut down tree and buck into bonfire wood. 3. Pitch tent near firewood pile, and light a fire. 4. You and your girlfriend enjoy your solitude with no danger from widow-maker.

Moo

when you are out of the tree's shadow

You would estimate how tall you think it is and then take that many steps then take another that many steps then set down your campsite that way you are double the distance away

anon

of corse it will hit da tent it lookz the same hit as da hill it must be at lest 20 mtrs tall and the tent spot is about 10 mtrs away!!!!!!! dddaaaaa!!!!!!!!!!

It would turn him into a hiker on a stick! :)

jammyj

check to see if the shadow of the tree lands on the tent.

JHG

You pick up a stick and walk away from the dead tree following a path that will allow you to see your tent "next to" the tree. You stop and turn back toward the dead tree and hold out the stick at full arms length so that the tip of the stick aligns with the top of the dead tree - you then move your hand so that it aligns with the bottom of the tree (on the stick) while the tip remains aligned with the top of the tree (you just shift the aim of your eye you do NOT move the stick up or down - you are sighting through the stick at the top and bottom of the tree). You then tip the stick sideways toward your tent and align your hand again with the bottom of the tree. The tip of the stick shows where the top of the tree will reach when it falls.

hiker guy

Move your campsite so the tree is not a factor!

David

if at any point of the day the showdow falls within the distance of the tent you will need to move the tent

Borat

just push the tree over, so you are sure u wont get squashed while sleeping

Kimm

Move to the other side of the tree

mark

approximately the measure the shadow of a smaller object using a tent pole, then measure the object itself. Calculate the ratio. Now use this object to measure the shadow of the tree within a couple of minutes of measuring the smaller object.

i learned this in grade 5. we all went down to the basketball court and were asked to work out how hight the top of the backboard was. we had to mesure how many times our shadow fitted into the shadow of the basket ball ring and then times it by how tall we are. i've never forgotten because before we were told how to work it out there were kids looking through their legs backwards at the ring, or climbing it or just generally going crazy and i thought it was kinda fun for a maths class... ha, what a nerd

monchichi

if you can see the shadow of the dead tree, walk along the shadow and count your steps. then measure distance from tree to tent by counting your steps. your tent should be twice as far as the evening shadow of the tree.

Hawkzgirl

I would find a new campsite

spazmtnman

If there is still light out you can take the shadow of a smaller tree, small enough that you can reach the top. Next you determine the ratio between the small tree's height and the length of it's shadow, from the trunk to the tip. Once you establish the ratio it should apply to the big tree. Pace off the shadow and than multiply by the ratio and you will obtain the height of the tree. You can safely place your camp a safe distance away that is equal to the height of the menacing tree.

harry

the hypotenuse

steph

you can look at the shadow right before the sun goes down then move about 15 ft. above its top

jax

or hang a raw piece of meat from one of the branches on the opposite side of the tree from your camp and wait for a bear to come pull on it. The bear pulls down the tree, the tree squishes the bear...it's a win-win.

jax

use the shadow?

Sam L

1. Figure out the length of your shadow versus the height of yourself (you should already know your own height, you can figure out the length of the shadow by pacing) 2. Figure out the length of the shadow of the tree (by pacing) 3. You should be able to figure out the height of the tree by setting it up as a ratio problem. ( height 1 / length of shadow) = (height 2 / length of shadow) The math can be done by scratching in the dirt.

Lahey's Wizard of Math

Set up a proportion with the height of the pine being x. 1) Measure the length of the shadow that pine casts (measure in sneaker lengths or any standard). 2) Measure your tent's height in sneaker lengths. 3) Measure the length of your tent's shadow. These are the other three known quantities. Proportion could be: t height/t shadow = p height (x)/p shadow. For example: A 4-sneaker tent/a 2-sneaker shadow = unknown number of sneakers height of pine/50 sneaker length of shadow. So 4/2 = X/50 and therefore x = 100 sneaker lenghts for the height of the pine. Simply walk off 100 steps to check.

Stamin

Look for how for to a certain side the tilt of the tree is.

bob..... bob

have a person whos hight you know stand near the tree and you stand 40-50 feet way. look at the proportion of him and you thumb and index finger and then see how many of him fit on the high of the tree

Dougal

Creating a triangle with a 90 degree angle at the base of the tree, you need to retreat from the tree until you are confident you have reached a point completing a 45 degree angle between the ground and a hypothetical line to the peak of the tree. The remaining angle of the triangle will subsequently equal 45 degrees and result in the height of the tree and your distance from the base forming to equal sides to the shape.

chris gray

tip the tree over yourself in the opposite direction then you will be sure that it will not fall on you!!!!

tech

You should know your paceing. So you would pase the approximate distance from the bottom of the tree than use your compass to measure the slope to the top and use the rule of tangents to calculate the approx height.

leslie

Take a height that is known (camper's height) and measure the length of the camper's shadow (using approximate lengths like foot size or hand width) and make a fraction. Then measure the shadow of the tree using the same lengths used on the shadow of the camper. Set the fractions up and cross multiply to determine x. Then move the campsite further than the length of the dead tree. Example: 6 ft camper/8 ft shadow = X/40 ft. shadow of tree. 8x = 240 so x = 30 ft.

leslie

Take a height that is known (camper's height) and measure the length of the camper's shadow (using approximate lengths like foot size or hand width) and make a fraction. Then measure the shadow of the tree using the same lengths used on the shadow of the camper. Set the fractions up and cross multiply to determine x. Example: 6 ft camper/8 ft shadow = X/40 ft. shadow of tree. 8x = 240 so x = 30 ft.

Paula

picture the projectory angle that the tree could fall. Or, move your camp to the other side of the tree, whichever sounds easier... Paula, 13

Lance

This isn't the correct photo. In the story he had pitched a tent but there isn't a tent in this photo. So this isn't his campsite. And yes he could pitch his tent there without the tree causing him any trouble.

lexingtonpinkhorse

I have no stinking idea.

Trinmar1

Ensure you are not in the shadow of the tree.

sher

Well, this is what I would do...create a fixed spot in view of the dead tree and the campsite. Hold a stick up to measure the dead tree and holding it at the base to form a pivot, rotate it horizontally to measure the fall line of the tree. Set your camp up outside that fall line.

sher

John

Duh, move your f***ing camp away by looking at the tree's shadow. Or you could just sleep out under the stars as far away as possible. Or (again) you could just hear on your portable radio the weather and see if there's a storm 'a comin' and take one of the precautions above, (my choice would be #2)

fdsfdg

where the shadow is at a certain time of day

Heather

use the trees shadow to determine how far to move the tent

sugarboobles

Move your tent ANYWAY. WHy take the chance.

JB Harp

Since my campfire is going, hopefully I'll see a bit of smoke coming up helping me locate exactly where my campsite is. Exend my arm and measure the height of the tree with my thumb, stick, etc. Then rotate my thumb to compare the distance from the base of the tree to my campsite.

Heater

Stand next to the tree and mark you height in any weay that can be seen at a reasonable distance. Then walk one or two hunded paces (or more - exactness doen't really matter)and look back at the tree. Now, use a small stick that appears the same height of the mark you made on the tree (like a painter uses a brush stick to measure approximate proportions). Count the number of stick lengths to the top of the tree and multiply that number by your height (e.g. 5'- 8") - The resulting number is the approximate height of the tree. Add 10% (or more) for safety and move the tent outside that radius from the trunk of the tree. That's it.

Krystal

Move the tent somewhere far away from there

NotaClue

I guess I would wait for the sun to cast the tree's shadow and see if it extends over the tent

cort

Stay out of range of the tree's shadow

i don't know

the tree will fall on the tent

ashlii

keep walking untill the shadow of the tree doesnt reach you any more. or you could just push it over away from your tent so you wont have to worry about any thing.

reene

The tree and shadow on the ground form an right angle. The tent and it's shadow form an right angle. An outdoors person knows the estimated length of their stride. Estimated the hight of tent and shadow. Estimate the lenght of the tree's shadow. Use ratio proportions to estimate the tree's height. Then step off the distance bewteen the tree and the tent.

Memo

it doesnt really matter, it will land on the trees if it falls your direction and it would be wise to be between trees that are reletivley close to each other.

Memo

kick the tree to the opposite side of the campfire. and then use the trees logs as fire logs.

heath it's a no

all humans are unable to tell the difference between things after ten feet. it's an obvious trick question.

heath it's a no

all humans are unable to tell the difference between things after ten feet. it's an obvious trick question.

Yossarian

That was an easy one...

Yossarian

Wait until the sun sets and look at the shadow...

move your tent a thousand feet away

Monkey

Use your eye, placed conveniantly in your head, to see the height of the tree and compare it to the distance to the tent. Or go kick the tree over, nobody cares.

goki

find the height from where it falls

Push the tree over so it falls away from your tent, problem gone :)

it is the angle of the camra

M@+# GEN!0U$

(solution based on someone whose eyes are 5'10" off the ground) aproximate the length of your stride and walk untill the angle between theground to the top of the tree is 45 degrees. Let's assume that it took 18 3-foot paces. 18*3=54. Therfore, you are 54 ft. away from the tree. So, we take the aproximated distance from the tree (54') plus the aproximated distance freom the ground to eye-level (5'10") to get the aproximated height of the tree (59'10") and just to be safe, add another 10 feet to that (69'10" or 838"). Now divide that by the aproximated stride (3' or 36") (838/36=23.277777(repitan bar over the sevens)paces)which in this case we can say is about 23 and one third paces. (In these situations. it is always better to round up)

optimist

why would it fall the same night , if it is standing there since long time . so have faith . coz if ur going to be screwed , a grisely beer can do it too.

no idea

Gokulakannan

Instead of measuring the trea, it is good to cut-down the tree ( as it was already dead ). Then I can safely put tent and enjoy.

Gokulakannan

Instead of measuring the trea, it is good to cut-down the tree ( as it was already dead ). Then I can safely put tent and enjoy.

Hannamay321

You can compair your shadow lenght with that of the tree and from there calculate the average height of the tree.

myself

i have no idea

Adam Z

look at the trees shadow if it goes to the tent ur screwed

cocobird231

Easy, ask the fisherman if you can borrow his line. Find a heavy object to throw in the air and try to hook it over a top branch. Climb up the tree, get the line and measure out from the rod. If your tent is under the tree measurment your screwd. If not,relax and tip one back.

rinki

Most people can judge by looking how tall a tree is and how far away they are, but the solution is a triangle based formula, using anlge to top of tree, etc. I would worry more about if the tent is far enough away from water to not get wet in downpour. Don't camp in a valley.

Height of tree looks longer than tree-to-campsite. If tree falls toward campsite, tree length moves from vertical side of isosceles triangle to horizontal side and crushes tent and hiker -- unless tree breaks off and leaves lower part of its trunk standing, in which case horizontal side of triangle is shorter than vertical side.

jamei

leave the camp site because i dont know ether

OpenTrail

Fill a pan with water. Stand in a position to see the reflection of the tree top in the pan. Measure the distance from your feet to the pan and from the pan to the tree top. Then apply the ratio of the two distances to the ration of your height (minus a couple of inches) to the hieght of the tree. The ratios should be equal and you can solve for the height of the tree because it is the only unknown variable.

take your pan you cookied supper in and fill it with water from the stream. Place it on the ground and move it away from the dead tree untill you can not see the tree's reflection in the water. There is where you set up your tent.

your mom

maybe he should just go home

Take a stick and hold it in front of you. Closing one eye, break the stick to the size of the tree (you-stick tree). Turn the stick sideways and get your neighbour downstream to pace out to the end of the stick. Voila

Yoda

Pack up, go home and order pizza

Miss Oakley

You wait until 6pm. The safe distance will be the point betwen yourself the tree and the sun where you can no longer se the sun

Moony

Check the shadow

put the tent on the other side of the tree

Loser

Take a stick and stand far back and line stick and tree together. Fake stick falling and see how far it looks (resemles dead tree).

nrivers

I would relocate my tent to be set up toward the right of the tree. It looks like the dead tree will fall forward not side ways.

llhughesjr

STAND BACK FROM THE TREE AND FOLLOW THE SHADOW WITH YOUR EYES AT A CERTAIN TIME OF THE DAY AND YOU WOULD SEE IF THE TREE WOULD HIT THE CAMP

njhjh

make sure you are not under the shadow of the tree

Doug

Measure the shadow of the tree (paces). Measure your own shadow (set an object on the ground and line it up with the "head" of your shadow to measure the distance). Use proportional reasoning to check. For example, if you are 6 feet tall and your shadow is 10 feet long, and the tree's shadow is 60 feet long, you can reason that the tree is approximately 36 feet tall.

Standing at your tent, face away from the tent, bend over forwards and look through your legs to see if you can see the top of the tree. If you can, you are a safe distance from the tree. If you can't, your tent must be moved farther away until you can. This works because of geometric properties. The distance from the base of the tree to where you are standing is the same as the height of the tree if you can just see the top. The reason is beacause it makes a 45-45-90 degree triangle witht he right angle made by the tree and the ground, a 45 made by the tree and the line of sight, and a 45 made by the distance on the ground and the line of sight.

yodel

You could simply look at the shadow, or you could take the matches in your bag and set fire to the stupid thing and burn it away so it doesn't fall on you're pretty little head.

Jorge

Look at the tree's shadow on the ground and use the ratio of a smaller tree to its shadow to gauge the hight of the tree.

jibblueeyes

In the afternoon when the shadow of the tree extends the direction of the campsite, if the shadow of the tree extends farther than the shadow of the tent, then you're in danger.

Kayla

Look at the shadow

pooja

By following the shadow of the tree when the sun is aruond 45 degrees with the earth

look at the shadow

Double the distance of the trees shadow..

Hold something (your thumb) a distance from your eyes until it equals the tree height and then rotate your thumb with same distance from your eyes until you can gauge whether the tree is taller than the distance from the base of tree to campsite.

Find a smaller tree or stick, one that could easily be measured, and measure both it and its shadow in any available unit of measure. For example, you could use your foot. Then measure the shadow of the tree you are concerned about. The ratio between the two will give you the height of the tree in question in units you could easily mark off. Then just measure the distance from the tree to the camp in those units. If the distance is less than the hieght of the tree, I would suggest moving your tent or wearing a hardhat to bed.

Darrell

point your arm at a 45 degree angle towards the tree. When you are pointing to the top, you are at the end of its landing path. Add 10 feet to this distance to be safe.

Hottieicesk8r

You take a rope and run it up the length of the tree then once that is done, lay the amount of rope it took to go up the entire tree on the ground in a straight line. You start the rope at the base of the tree and the end is where yhou put your tent.

beats me :)

sophie

you watch the trees shadow and if the shadow is touching your tent you are in danger!

themaskedarcher

see half of the shadow of the tree at 5' o'clock

yes it is far enough away

Put the tent on the other side of the tree.

Mr. Crowell

Notice the shadow of the tree and you will be able to determine the estimated height of the tree.

Skimika

just dont camp at that site....put you tent elsewhere!

dave

the trees shadow

beijixiong

pick another smaller tree. stand so that the tip of the big tree is lined up with the tip of the little tree. pace the distance from where you are standing to the little tree (A steps) and the distance between the little tree and the big tree (B steps) the height of the big tree H=(A+B)L/A, where L is the height of the little tree. now, find an even smaller tree or shrub - one that you can estimate the height in paces - call this S. stand so that the tip of the small tree is in line with the tip of the shrub. measure the distance from where you are standing to the shrub (C steps) and from the shrub to the small tree. the height of the small tree is thus (C+D)S/C. plug this into the first formula, and you have the height of the big tree. don't forget to add on your own height (to eye-level) onto this figure. by this time, your veggie-burger is probably burnt, so you don't even get a chance to find out how good it would have tasted....

Ockam's razor

Stand back a way. Hold out your arm and put up your thumb so you see the top of the tree in line with the top of your thumb. Measure where the base of the tree is on your thumb. Then turn your thumb 90 degrees with the base of the tree where it was first time. The top of your thumb is where the top of the tree will land (ish). Then set your tent a bit further away. Easy peasy. Far easier than all this ratio, shadow, trig nonesense. Cheerio Ockam's Razor

justinjen

here's the best solution: go ask the neighbor if you can camp with him.

you would use simple trigonometry in which you would not need to know the hieght of the tree

laura canvintig

he should know the hight of him self and at a certain time of day then find how many of him go in to the shadow of the tree that will give u the hight of the tree then move that ammount away from it

urin on the tree so it could fall faster, and u can dodg it..!!! :)

check to see how far the shadow of the tree stretches

dave

will not hit camp site

Pete

Stand next to the tree and look at the shadow. Mark the height of your shadow and the height of the trees shadow. Measure these distances in some for (i.e. footsteps, arm lengths, etc...) Since you know what your height is you can use the same ratio to the trees height. Example: If the trees shadow is 10 times your shadow and you are 6 ft tall (about 2 strides), then you know the tree is about 60 ft tall (about 20 strides). Set up the tent that far away atleast.

Sylvia

Look at the length of the shadow

go home!

Clara

move your campsite far far away from the dangerouis tree!

Pace out the length of the shadow of the tree and move your tent the appropriate paces away from the tree.

sturds

Chop down the tree, making sure it falls away from the campsite. You will then be a safe distance away from the dead tree.

derekhoffman418

by using its shadow

brandonwernke

Some how measure your shadow, use your height, and the measurement you used for your shadow(for ex. how ever many foot steps from where you were standing to the edge of your shadow, toss a stick or something to it) and the trees shadow in the same measurment you used. Have your height over your shadows length. Then have a variable over the trees shadow and cross multiply. then do a bit of algebra. for ex. my height is 6ft and say my shadow was 8 feet, the trees was 25 feet 6 =x 6*25=150 8 =25 8*x=8x 150=8x divide by 8 on both sides 18.75=x the trees height is roughly 18.75 feet depending on your shoe size

Lucia

Wait until the sun shines even with the top of the tree and then measure how far out the shadow reaches. If you put the tent farther out than the shadow you should be alright.

Candi

littlemissmousey

Stick a twig in the ground somewhere where the sun can reach it. When the twig's shadow is EXACTLY the same length as the twig itself, the dead tree's shadow will be EXACTLY the length of the dead tree. If the dead tree's shadow reaches the camp then the tree would also reach the camp if it was to fall. *Note*If the shadow is not cast in the right direction (the direction of the camp) to see if the camp would be safe or not, it could be measured in strides or paces etc. Then the distance from the dead tree to the camp would need to be measured in strides/paces (as equal as possible). The distance from the dead tree to the camp must be more than the length of the dead tree's shadow for it to be safe.

The Answer

You know how tall you are. Do a ratio of your height to your shadows' length = tree height to trees' shadow length. Solve for tree height. A stick as tall as you will make a fine measuring tool. Put your tent a few feet farther away than tree is tall.

erin

use the shadow of the dead tree to estimate the distance

stephensm

o Find the tip of the shadow of the tree in question. Mark that spot. Wait 6 hours. You can pass the time by fishing. After 6 hours has lapsed, again mark the tip of the shadow of the tree. If there is still enough sunlight repeat this process two more times. You can catch a lot of fish in 18 hours. If there is not enough time, two marks should do. You can use the marks you created to begin a circumference of the tree. Anything on the out side of the circle plus a couple of yards should be safe. Anything inside the circle is deadly. If you only had enough sunlight for two marks, create a half of circle joining the marks and stay clear of that. If you were only able to make one mark go more than three yards away from that mark and it should be safe. If you arrived at the camp site at nights FIND ANOTHER PLACE TO SLEEP

I would utilize the length of the shadow of the tree as a guide. I don't know what the time of day that shadows are comparable to the size of the item, but I would guess it would be mid afternoon. Anytime then or later should give you a minimum distance to stay away.

keyur

hello friends ,its very simple.as we donot have any measuring tape ,we will look at the shadow of the tree during early morning when the sun rises or the evening when the sun sets

AS long as you are out of the shadow of the tree your campsite is a safe distance away.

Just move your tent to a different area of the campsite!!!

12-yr-old Einstein

at the end of the day, but before the sun sets, look at the tree's shadow. THe shadow will be longer than the tree, so by putting your tent farther from the shadow than the tree, you are in no danger of the tree landing on you

tom.maxwell

From a distance, Measure the hight of the tent against the tree marking it on a stick. (Line of sight method) Count the number of 'tent hights'measurments up the tree. Measure the hight of the tent in steps. Multiply the number of 'measurements' times tent hight steps and step off the distance from the tree. Tom

psycomidget1486

just move the tent

abarr

move your tent to a different location!!!

Kevin

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