(a) The figure shows a telephone wire hanging between two poles at x = €“ b and x = b. It takes the shape of a catenary's with equation y = c + a cosh (x/a). Find the length of the wire.
(b) Suppose two telephone poles are 50 ft apart and the length of the wire between the poles is 51 ft. If the lowest point of the wire must be 20 ft above the ground, how high up on each pole should the wire be attached?

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