Question 309017
Here we will make use of the Pythagoras Theorem which states
 Hypotenuse = &#8730(Base^2 + Perpendicular^2)

In this question:
Length of the Pole = Perpendicular = 13 m
The distance from the base of the pole to where the wire meets= Base = 9
The wire itself = Hypotenuse

Therefore the length of the wire is:
&#8730(Base^2 + Perpendicular^2)
= &#8730(9^2 + 13^2)
= &#8730(81 + 169)
= &#8730(250)
= 5&#8730 10
~ 15.81m