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https://www.mathworks.com/matlabcentral/cody/problems/45373-hanging-cable-01
The height of the poles is h the length of the cable is l
but in this case, the two poles are of different heights.
The image is collected from Wikipedia.
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A hanging cable is a catenary curve. Recommended: http://euclid.trentu.ca/aejm/V4N1/Chatterjee.V4N1.pdf