Question

A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What is the height of the tree?

Answer 1

Set up a proportion:

6 feet over 11 feet long equals x feet over 33 feet long

6/11 = x/33

198 = 11x

x = 18

The height of the tree is 18 feet tall

Answer 2

The man's height in ratio to the shadow casted is 6:11. Each feet of the man is 1.83333333 feet to the shadow. Divide 33 feet of the shadow by 1.83333333 to obtain 18 feet of the height of the tree.