Derivatives of Trig Functions: Applications

5. A V-shaped trough is to be constructed with sides that are 200cm long and 30 cm wide. Find the angle between the sides that maximizes the capacity of the trough.

Start with a 3D sketch of the trough and a 2D sketch of the front triangle area of the trough.

NEED SKETCH

Now, what type of problem is this?

Optimization (Min/Max)

We want to mazimize capacity. What variable will we use?