Electrical Wires Suspended Between Two Towers Form a Catenary Modeled $y = 20 \cosh \frac { x } { 20 } , - 25 \leq x \leq 25$

Multiple Choice

Electrical wires suspended between two towers form a catenary modeled by the equation $y = 20 \cosh \frac { x } { 20 } , - 25 \leq x \leq 25$ where $x$ and $y$ are measured in meters. The towers are 50 meters apart. Find the length of the suspended cable. Round your answer to three decimal places.

A) $94.421 \mathrm {~m}$
B) $50.000 \mathrm {~m}$
C) $64.077 \mathrm {~m}$
D) $40.048 \mathrm {~m}$
E) $47.211 \mathrm {~m}$