Question

A 35-foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 1 feet from the base of the flagpole, how tall is the flagpole?

Answer 1

The figure for the height of flagpole, wire and ground is,

Determine height of the pole by using the pythagoras theorem in triangle.

`\begin{gathered} l^2=b^2+h^2 \\ (35)^2=(14)^2+h^2 \\ 1225-196=h^2 \\ h=\sqrt[]{1029} \\ =32.078 \\ \approx32.08 \end{gathered}`

Thus, height of the flagpole is 32.08 feet.