Aflagpole casts a 16-foot shadow at the same time a 4-foot pole casts a 5-foot shadow. how tall is the flagpole?

Based on the information the tall of the flagpole is 12.8 feet tall .

Set up a proportion and let x = Height of the flagpole

4/5 =16/x

Solve x by cross multiplying

5x = 64

Divide both sides by 5x

x= 64/5

x=12.8 feet tall

Inconclusion the tall of the flagpole is 12.8 feet tall .

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Set up a proportion:

The 4 foot pole casts a 5 foot shadow is written as 4/5

Let the height of the flagpole = x.

The flag pole casts a 16 foot shadow so it is written as X/16

Now set the two proportions equal to each other:

4/5 = X/16

Solve for X by cross multiplying:

5X = 64

Divide both sides by 5:

X = 64/5

X = 12.8

The flag pole is 12.8 feet tall.

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