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.
