A catenary is the curve formed by a solid wire, rope, or cord of uniform density. For example, the curve formed by a cable hanging between two utility poles is a catenary. It can be shown that a catenary has the equation y = a cosh (). Compute the length of a catenary wire hanging between two poles that are 50m apart and where the lowest point on the wire is 25m above the ground. note: the position along the wire is given by y = 50 cosh (), where the origin is a point halfway between the poles and 25m below ground (both x and y are measured in meters)