Answer
$\approx32.32ft$
Work Step by Step
If the length of the guy wire is $x$, then according to the Pythagorean Theorem: $\text{guy wire}^2=\text{half distance between guy wires}^2+\text{height of pole}^2\\x^2=(0.5x)^2+(x-5)^2\\x^2=0.25x^2+x^2-10x+25\\0.25x^2-10x+25=0\\x^2-40x+100=0\\(x-20)^2=300\\x-20=\sqrt{300}\\x=\sqrt{300}+20$
Thus the length of the pole is: $x-5=\sqrt{300}+15\approx32.32ft$
