A telephone line hangs between two poles 14m apart in the shape of a catenary y=20cosh(x/20)-15, where x and y are measured in meters.
(a) find the slope of this curve where it meets the right pole.
(b) find the angle between the line and the pole.

Question

A telephone line hangs between two poles 14m apart in the shape of a catenary y=20cosh(x/20)-15, where x and y are measured in meters.
(a) find the slope of this curve where it meets the right pole.
(b) find the angle between the line and the pole.

anonymous · Answer

I found the derivative which is sinh(x/20) and plugged in 7 to find the slope for part a which is about .35719 but I am not sure how to find the angle for part b