A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 25 cosh(x/25) − 20, 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.) .2837 (b) Find the angle θ between the line and the pole. (Round your answer to two decimal places.)

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step-by-step explanation:

p

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step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

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step-by-step explanation: