A kite is released from a spot 50 feet from where you are on a calm day. It rises at a rate of 3 ft/s. How fast is the angle of elevation changing when it is $\frac{\pi}{6}$ radians above the line of sight from where you are? What about when the angle is $\frac{\pi}{4}$?
By creating a triangle, I can tell that the kite will be 25 feet in the air but I'm unsure how to incorporate the rate. Can someone walk me through the problem?
Just a heads up, this isn't a homework problem; rather it is a problem I got wrong on an exam.