Telephone Pole Height

Question

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is feet less than the height of the pole. If the wire is to be feet longer than the height of the pole, what is the height of the pole?

Answer 1

height of pole = x + distance from pole bottom to anchor point = x+d

wire = hypotenuse = y + x + d

(y+x+d)^2 = (x+d)^2 = height of pole squared