Question

How high is a tree that casts a 2222​-ftft shadow at the same time a 44​-ftft postpost casts a shadow which is 77​-ftft ​long?

Answer 1

What the user said above!

Answer 2

Answer: The height of the tree is 12.57 ft.

Explanation:

The height of a thing is proportional to the its shadow.

Let H = Height and S = length of shadow

Then by equation direct proportion ,
`(H_1)/(S_1)=(H_2)/(S_2)` (i)

Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft ​long.

Put
`S_1=22 ,\ H_2= 4,\ \ S_2=7` in (i), we get

`(H_1)/(22)=(4)/(7)\\\\ H_1=(4)/(7)*22\approx12.57`

Hence, the height of the tree is 12.57 ft.