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Your geometry class goes outside to measure theheight of the school's flagpole. A student who is 5feet tall stands up straight and casts a shadow that is8 feet long. At the same time the flagpole casts ashadow that is 24 feet long. What is the height of theflagpole?

Sagot :

Hello there. To solve this question, we'll have to remember some properties about measuring heights and ratio.

A student who is 5 feet tall stands up straight and casts a shadow that is 8 feet long. At the same time, the flagpole casts a shadow that is 24 feet long. What is the height of the flagpole?

We start by drawing the situation:

In this case, we take the ratio between the heights and the shadow length. This must be a constant, equal to both.

Therefore we have to solve the following equation:

[tex]\frac{5}{8}=\frac{H}{24}[/tex]

Multiply both sides of the equation by a factor of 24

[tex]\begin{gathered} 24\cdot\frac{5}{8}=24\cdot\frac{H}{24} \\ H=15 \end{gathered}[/tex]

The height of the flagpole is 15 feet.

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View image StocktonK394803
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