A wire is stretched from the ground to the top of an antenna tower.The wire is 17 feet long. The height of the tower is 7 feet greater than the distance d from the tower's base to the end of the wire. Find the distance d and the height of the tower
Pythagorean theorem says
d2 + (d+7)2 = 172
d^2 + d^2 + 14d + 49 = 289
2d^2 + 14d -240 = 0 Quadratic formula yields d=8 or -15 (throw out)
8 + 7 = 15 = height