Find the length between poles?
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Equation of catenary is y= a cosh (x/a).
In our problem, a= 10 m. So we calculate x for y = 50 m.
Then, y/a= cosh (x/a) OR
50/10=5= cosh( x/10).
Now, from the tables of hyperbolic cosine function,
x/10= 2.3 OR
x=23.
Hence, distance between two poles is 46m.
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