A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where the poles are placed at x = -12 and = 12, where a is measured in feet. The height (in feet) of the cable at position a is h(x) = 18 cosh (x/18), where cosh(x) = (e+e-¹)/2 is the hyperbolic cosine, which is an important function in physics and engineering. The cable is feet long.

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