I need help................?

Question

A tree is twice as high as the length of the shadow it casts. The distance from the tip of tree to the tip of the shadow is 8 feet. What is the length of the shadow that the tree casts

Answer 1

ok if think about it if the lenght of the tree is to the show is 8 that and

so that means its half the shawdow is half the sixe of the tree so then 8 feet is is half so the shoaw is half  but the trees so its 8 =p

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Answer 2

You need to use the Pythagorean Theorem to solve this:

a^2 + b^2 = c^2

where a and b are the legs of the triangle and c is the hypotenuse

Using this we can say x is the length of the shadow and 2x is the height of the tree.  The hypotenuse is given as 8 feet.

x^2 + (2x)^2 = 8^2

x^2 + 4x^2 = 64

5x^2 = 64

x^2 = 12.8

x = 3.58  (aprox.)   <-- Shadow

and

2x = 7.16              <-- Height of tree

Check:

3.58^2 + 7.16^2 = 8^2

12.82 + 51.27 = 64

64 = 64

So the answer is about  3.58 feet.  Hope this helps!!

Answer 3

Ryan: Read the question a different way.  The information given says the tree is twice the size of the shadow.  You know the answer then if you can do two things.  Tell how tall the tree is and then say what fraction of that would be equal to the length of the shadow.

Answer 4

16 feet?