Question

A telephone line hangs between two poles 14 m apart in the shape of the catenary...

A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 15 cosh(x/15) − 10, where x and y are measured in meters.

(a) Find the slope of this curve where it meets the right pole. (Round your answer to four decimal places.)


(b) Find the angle θ between the line and the pole. (Round your answer to two decimal places.)

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