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) = 17cosh(x/17) 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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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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) = 17cosh(x/17)

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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