Solve the problem.
-A 30 -foot pole is supported by two wires that extend from the top of the pole to points that are each 15 feet from the base of the pole. Find the total length of the two wires.
A) $30 \sqrt { 5 } \mathrm { ft }$
B) $15 \sqrt { 5 } \mathrm { ft }$
C) $2250 \mathrm { ft }$
D) $90 \mathrm { ft }$

Question

Quizplus · Accepted Answer

We can use the Pythagorean theorem to find the length of each wire. Let's call one of the wires "x". Then, we have:

\begin{align*}
x^2 &= 30^2 - 15^2 \
x^2 &= 675 \
x &= 15\sqrt{15}
\end{align*}

Since there are two wires, the total length is:

$$2x = 30\sqrt{15} \approx 30\sqrt{5}$$

So, the answer is choice A.

Solve the Problem 305ft30 \sqrt { 5 } \mathrm { ft }305​ft

Solve the Problem $30 \sqrt { 5 } \mathrm { ft }$