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A flagpole casts a 5 foot shadow while a nearby sign cast of 1 1/4 foot shadow. Find the height of the flag pole if the sign is 4 feet high.

A flagpole casts a 5 foot shadow while a nearby sign cast of 1 1/4 foot shadow. Find-example-1

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4 votes

Answer:

16Ft

Explanation:

We can use proportions to solve this problem.

Let's let "x" be the height of the flagpole. We know that the sign is 4 feet high, and it casts a shadow of 1 1/4 feet. So we can set up the proportion:

4/1.25 = x/5

Simplifying the left side of the equation, we get:

4/1.25 = 16/5

Substituting into the original equation, we have:

16/5 = x/5

Multiplying both sides by 5, we get:

16 = x

Therefore, the height of the flagpole is 16 feet.

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