A trough is to be made with an end of the dimensions shown. The length of the trough is to be 19 feet long. Only the angle $\theta$ can be varied. What value of $\theta$ will maximize the trough's volume?

A) $49^{\circ}$
B) $32^{\circ}$
C) $11^{\circ}$
D) $30^{\circ}$

Question

A trough is to be made with an end of the dimensions shown. The length of the trough is to be 19 feet long. Only the angle $\theta$ can be varied. What value of $\theta$ will maximize the trough's volume?
 
A) $49^{\circ}$ 
B) $32^{\circ}$ 
C) $11^{\circ}$ 
D) $30^{\circ}$

Quizplus · Accepted Answer

The Answer of A trough is to be made with an end of the dimensions shown. The length of the trough is to be 19 feet long. Only the angle $\theta$ can be varied. What value of $\theta$ will maximize the trough's volume?
 
A) $49^{\circ}$ 
B) $32^{\circ}$ 
C) $11^{\circ}$ 
D) $30^{\circ}$

A Trough Is to Be Made with an End of the Dimensions