Sin(A) / a = Sin(C)/c
Sin(A) = a Sin(C)/c
Sin(A) = 32 Sin(30)/16
Sin(A) = 32 * 0.03125
Sin(A) = 1
A = 90°
By the law of sines, angle A must be 90 degrees. That makes side a the hypotenuse of a 30-60-90 triangle. There is only one triangle. The third side is 16√3, and the third angle 60°.
