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kotegsom [21]
2 years ago
15

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?
Mathematics
2 answers:
noname [10]2 years ago
8 0
The answer is 40.

cross multiply
Veronika [31]2 years ago
3 0

Answer:

The flagpole is 40 feet tall.

Step-by-step explanation:

So, we are looking for the height of the flagpole. Let <em>h</em> represent this height.

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

Flag pole - <em>h</em> feet in height and casts a 160-foot shadow

The relationship looks something like this:

5 : 20 :: h : 160

or

\frac{5}{20} =\frac{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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