(Solved): A trough is to be made with an end of the dimensions shown. The length of the trough is to be 20 fe ...

A trough is to be made with an end of the dimensions shown. The length of the trough is to be 20 feet long. Only the angle \( \theta \) can be varied. What value of \( \theta \) (in degrees) will maximize the trough's volume? What is the maximum volume of the trough?