A streetlight that is 9 feet tall casts a 2-foot-long shadow. A nearby flagpole casts a 11-foot-long shadow. What is the height

Question

3 years ago

8

of the flagpole?

1 answer:

Dafna1 [17] · Answer 1 · 2022-07-14T22:04:20+03:00

The height of flagpole is 49.5 feet.

Step-by-step explanation:

Given,

Shadow casted by streetlight = 2 foot

Height of streetlight = 9 feet

Ratio of shadow to height = 2:9

Shadow casted by flagpole = 11 foot

Let,

x be the height of flagpole

Ratio of shadow to height = 11:x

Using proportion

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

$2:9::11:x$

Product of mean = Product of extreme

$9*11=2*x\\99=2x\\2x=99$

Dividing both sides by 2

$\frac{2x}{2}=\frac{99}{2}\\x=49.5$

The height of flagpole is 49.5 feet.

Keywords: ratio, proportion

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