Power Line
Reference:
http://www.projecteureka.org/problem/question/465
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M$2 Answers
The length of a catenary is:
S=2/a * sinh(L/2*a)
where S is your length, L is the distance between the ends, and a is a parameter defined as:
a = 8h/(S^2-4h^2)
This definition can't be solved for S in a closed form, so we have to approximate it mathematically with a computer. The result is about 50.84.
(The site for some reason insists that it's 50.85.)
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M$
pythagarus theorem
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