Question

A woman is 5 ft tall and her shadow is 4 ft long. A nearby tree has a shadow 30 ft long. How tall is the tree?

A.
37.5 ft


B.
24 ft


C.
39 ft


D.
31 ft

Answer 1

Using the proportion:

woman's height / woman's shadow length = tree's height / tree's shadow length

5 / 4 = x / 30

Cross-multiplying:

4x = 150

x = 37.5

Therefore, the tree is 37.5 ft tall.

Answer: A. 37.5 ft