Question

a flagpole casts a shadow 160 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. What is the height, in feet, of the flagpole?

Answer 1

the answer is 40.

cross multiply

Answer 2

The flagpole is 40 feet tall.

Explanation:

So, we are looking for the height of the flagpole. Let h represent this height.

Boy - 5 feet in height and casts a 20-foot shadow

Flag pole - h feet in height and casts a 160-foot shadow

The relationship looks something like this:

5 : 20 :: h : 160

or

`(5)/(20) =(h)/(160)`

Now, we can cross multiply to find h!

`20h=800\\h=40`

So, the flagpole is 40 feet tall

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