Solve the Problem $\theta$ Can Be Varied $\theta$ Will Maximize the Trough's Volume?


A)

Multiple Choice

Solve the problem.
-A trough is to be made with an end of the dimensions shown. The length of the trough is to be 22 feet long. Only the angle $\theta$ can be varied. What value of $\theta$ will maximize the trough's volume?

A) $52 ^ { \circ }$
B) $32 ^ { \circ }$
C) $30 ^ { \circ }$
D) $8 ^ { \circ }$