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

Question

3 years ago

7

is six feet long?

1 answer:

Vikentia [17] · Answer 1 · 2022-08-13T21:03:11+03:00

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:

#LearnwithBrainly