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

question 34

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) \(47.211 \mathrm {~m}\)

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