calculatig height between telephone wires

Question
(a) The figure shows a telephone wire hanging between two poles at x = -###em/em### and x = ###em/em###. It takes the shape of a catenary with the equation y = c + a cosh(x/a). Find the length of the wire.

(b) Suppose two telephone poles are 40 ft apart and the length of the wire between the poles is 41 ft. If the lowest point of the wire must be 16 ft above the ground, how high up on each pole should the wire be attached?

 

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