Question

A 8-foot tall stop sign creates a shadow that is 2 feet long. At the same time, a utility pole creates a shadow that is 9 feet long. How tall, in feet, is the utility pole?

Answer 1

Answer: 36 feet

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Work Shown:

(sign height)/(sign shadow) = (pole height)/(pole shadow)

8/2 = x/9

8*9 = 2*x ... cross multiply

72 = 2x

2x = 72

x = 72/2 ... divide both sides by 2

x = 36

The utility pole is 36 feet tall.