A cable hangs between two poles of equal height and 30 30 feet apart. Set up a
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Question:
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)=15cosh(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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