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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?

A 14 feet

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.