A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 21 cosh  x 21 − 16, where x and y are measured in meters. A telephone line hanging between two poles is on the x y coordinate plane. The left pole is located at x = −7 and the right pole is located at x = 7. The line hangs between the poles crossing the y-axis at y = 5. The acute angle formed by the right pole and the hanging line is labeled θ. (a) Find the slope of this curve where it meets the right-hand pole. (Round your answer to four decimal places.)
(b) Find the angle θ (in degrees) between the line and the pole. (Round your answer to two decimal places.) θ = °