A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is \frac{\pi}{6} , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?

Question

anonymous · Answer

How would you set this problem up?

anonymous · Answer

http://answers.yahoo.com/question/index?qid=20120501154929AAYGb12 That is an example. I understand everything, but how they got (10pi/3).

anonymous · Answer

I keep getting one for my answer, but that isnt right.

anonymous · Answer

for this problem to need to be able to convert a change is angle(radians) to a change in the y distance...there is a formula that relates angle to y. Do you know it?