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  • 24-01-2021
  • Mathematics
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A 5.5 foot tall woman has a shadow that is 10 feet long. A flagpole is near and its shadow is 22 feet long. How many feet tall is the flagpole?

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  • 24-01-2021

Answer:  The flagpole is 12.1 feet high.

Step-by-step explanation:

We can solve this by using a ratio:

Actual height to shadow length. The fractions must have  the same equivalent values.

5.5/10 = x/22  Cross multiply the numerator on the left times the denominator on the right, and the denominator on the left by the numerator on the right:

5.5(22) = 10x

121 = 10x  Divide both sides by 10. (10s "cancel" on the right)

12.1 = x

The flagpole is 12.1 feet high.

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