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}=(24ft)/(8ft)\text{.}`

Simplifying the above result we get:

`(x)/(6)=3.`

Multiplying the above result by 6 we get:

`\begin{gathered} (x)/(6)*6=3*6, \\ x=18. \end{gathered}`

Answer: 18 feet.