Question

Jason places a mirror on the ground 40 feet from the base of a tree. He walks backwards until he can see the top of the tree in the middle of the mirror. At that point, Jason's eyes are 6 feet above the ground and he is 8 feet from the image in the mirror. What is the height of the tree?

Answer 1

We have to use a proportion:x is the height of a treex : 40 = 6 : 88 x = 6 * 408 x = 240x = 240 : 8x = 30 ftAnswer:The height of the tree is 30 ft.

Answer 2

let
x---------------> the height of the tree

we know that
by using proportion

`(40)/(8) = (x)/(6) \\ \\ 40*6=8*x \\ \\ x=40*6/8 \\ \\ x=30 feet`

therefore

the answer is
the height of the tree is
`30`feet