I have a cable suspended between two poles, both $1086.4$ ft high, that are $4444.7$ ft apart. The sag at the middle of the cable is $197.8$ ft. Given this, the constant should be $c = 1086.4 - 197.8 = 888.6$. However, when I try to use that $c$ in any equations, my results come out completely wrong.
Ex: $y=c \cosh\frac{x}{c}$
For the y at the pole/end,
$c \cosh\frac{x}{c} = 5454$
which is obviously very off from the pole's actual height of $1086.4$.
What am I doing wrong?
(I've looked through the following resources for help but haven't been able to find a formula/definition for c that comes close to my actual values. http://www.ce.siue.edu/examples/Worked_examples_Internet_text-only/Data_files-Worked_Exs-Word_&_pdf/cables_catenaries.pdf