Standing by a pole, a boy 3(1/2)feet tall casts a 6-foot shadow. The pole casts a 24-foot shadow. How tall is the pole?

Standing by a pole, a boy 3(1/2)feet tall casts a 6-foot shadow. The pole casts a 24-foot shadow. How tall is the pole?

Detailed Explanation

Using the ratio height/shadow, the proportion 3(1/2)/6 = x/24 models this situation, where x represents the height of the pole. Cross multiply. 3(1/2)*24 =6x, so 84 = 6x, and x = 84/6 = 14 feet.