Question

An 18 foot tall pole casts a shadow that is 28.8 feet long. At the same time a woman casts a shadow that is 8.8 feet long how tall is the woman

Answer 1

5.5 ft tall

Explanation:

The shadows cast by the pole and by the woman form similar triangles.

In similar triangles, corresponding sides are in the same proportion.

Thus,

18/28.8 = x/8.8

Multiply each side of the equation by 8.8

x = 8.8 × 18/28.8 = 5.5 ft

The woman is 5.5 ft tall.