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Ron Wilson
Ron Wilson on 5 Jul 2020
Answered: Nishant Gupta on 8 Jul 2020
4. A telephone line hangs between two poles 14 m 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, θ between the line and the pole.

Answers (1)

Nishant Gupta
Nishant Gupta on 8 Jul 2020
You can solve your problem using MATLAB as follows:
syms x y
y = 20 * cosh (x/20) -15 ;
Diffrentiate the equation representing line with respect to x to get slope of it:
f(x) = diff(y,x);
To get slope at the point where line meets pole, put x = 14:
slope = vpa(f(14),4);
Finally, to get the angle between the line and pole at that point use atan fun:
angle = vpa(90 - rad2deg(atan(slope)),4);
Refer to the following links to get more details about diff, atan and vpa functions:

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