1. The figure below show a telephone wire hanging between two poles at x = - b and x = b. It takes the shape of a catenary with equation y = c + a. Find the length of the wire.
2. Suppose the two telephone poles are 50 feet apart and the length of the wire is 51 feet. If the lowest part of the wire must be 20 feet above the ground, how high up on each pole should the wire be attached? Use your calculator to find an approximate answer.