The electric company is building an electrical tower 75 feet tall. To give it extra support during times of high winds, they are running supporting cable from the top of the tower to a place on the ground 10 feet from the base of the tower. how long does the cable need to be?

via the Pythagorean Theorem,

x^2 = 75^2 + 10^2
x = √5725 = 75.66 ft