Genius248
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A flagpole casts a shadow 22 feet long. If a man 6 feet tall cast a shadow 4.3 feet long at the same time, how tall is the flagpole? Please explain your answer.

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sqdancefan

Answer:

  30.70 ft

Step-by-step explanation:

For shadow problems, we make the assumption that an object's height and its shadow length are proportional.

Setup

The proportion for the two objects is ...

  height/shadow = pole/(22 ft) = (6 ft)/(4.3 ft)

Solution

Multiplying by 22 ft, we find the pole height to be ...

  pole = (22 ft)(6 ft)/4.3) ≈ 30.70 ft

The flagpole is about 30.70 feet tall.

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