Question: A cable hangs between two poles of equal height and 30 30 feet apart. Set up a coordinate system where the poles are placed at

A cable hangs between two poles of equal height and $30$ feet apart. Set up a coordinate system where the poles are placed at $x = - 15$ and x=15, where $x$ is measured in feet. The height (in feet) of the cable at position $x$ is

$h (x) = 15 \cosh (x / 15),$

where $\cosh (x) = (e^{x} + e^{- x}) / 2$ is the hyperbolic cosine, which is an important function in physics and engineering.

The cable is __ feet long.

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