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spin [16.1K]
2 years ago
7

How many feet long is the shadow of a 15-foot flagpole if a 5-foot woman standing at the base of the flagpole has a shadow that

is six feet long?
Mathematics
1 answer:
Vikentia [17]2 years ago
8 0

The height of flagpole is 12.5 feet.

Step-by-step explanation:

Given,

Height of woman = 5 foot

Shadow of woman = 6 feet

Ratio of height to shadow = 5:6

Shadow of flagpole = 15 foot

Height of flagpole = x

Ratio of height to shadow = x:15

Using proportion;

Ratio of height to shadow :: Ratio of height to shadow

5:6::x:15\\

Product of mean = Product of extreme

6*x=15*5\\6x=75

Dividing both sides by 6

\frac{6x}{6}=\frac{75}{6}\\x=12.5

The height of flagpole is 12.5 feet.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/9527422
  • brainly.com/question/9381523

#LearnwithBrainly

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