How To Solve Amazon's Hanging Cable Interview Question

A cable of 80 meters (m) is hanging from the top of two poles that are both 50 m from the ground. What is the distance between the two poles, to one decimal place, if the center of the cable is (a) 20 m above ground? (b) 10 m above ground?

Chatterjee, Neil, and Bogdan G. Nita. "The hanging cable problem for practical applications." Atlantic Electronic Journal of Mathematics 4.1 (2010).
http://euclid.trentu.ca/aejm/V4N1/Chatterjee.V4N1.pdf

Careercup Amazon question
https://www.careercup.com/question?id=7949664

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