Question

Evaluate A flagpole casts a shadow 24 feet long while a six-foot fence pole casts a shadow 8 feet long. Find the height of the flagpole.

Answer 1

To answer this question we will use the following diagram as reference:

Notice that both triangles are similar, then:

$\frac{\text{xft}}{6ft}=\frac{24ft}{8ft}\text{.}$

Simplifying the above result we get:

$\frac{x}{6}=3.$

Multiplying the above result by 6 we get:

$\begin{gathered} \frac{x}{6}\times6=3\times6, \\ x=18. \end{gathered}$

Answer: 18 feet.