Answer
The length of the wires attached to the pole is \[\text{12 yd}\].
Work Step by Step
The length of the base of the pole is 5 yd and the length of the hypotenuse is 13 yd. The length of wires attached to the pole can be calculated by using the Pythagorean Theorem.
Compute the length of the wires attached to the pole using the equation as shown below:
\[\begin{align}
& {{a}^{2}}+{{b}^{2}}={{c}^{2}} \\
& {{5}^{2}}+{{b}^{2}}={{13}^{2}} \\
& 25+{{b}^{2}}=169 \\
& {{b}^{2}}=169-25
\end{align}\]
\[\begin{align}
& {{b}^{2}}=144 \\
& b=\sqrt{144} \\
& b=\text{12 yd}
\end{align}\]
Hence, the length of the wires attached to the pole is \[\text{12 yd}\].
