. What is the height of the tree?

Question

The shadow of an 8-foot tall post is 24 feet long. At the same time, a tree casts a shadow that is 45 feet long. What is the height of the tree?

Answer 1

If you set up a proportion:

8 is to 24 as x is to 45

 

8/24 = x/45

1/3 = x/45

x = 45/3

x = 15 ft

Answer 2

15 feet.

 

The shadow is three times as long.