A Telephone Line Hangs Between Two Poles at 12 M $y=30 \cosh \left(\frac{x}{30}\right)-35$

Multiple Choice

A telephone line hangs between two poles at 12 m apart in the shape of the catenary $y=30 \cosh \left(\frac{x}{30}\right) -35$ , where x and y are measured in meters. Find the slope of this curve where it meets the right pole.

A) $\frac{\sinh 5}{6}$
B) $\sinh \left(\frac{5}{6}\right)$
C) $\sinh \left(\frac{1}{6}\right)$
D) $\sinh 6$
E) $\sinh \left(\frac{1}{5}\right)$