A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is π/3 , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?
Accepted Solution
A:
check the picture below.
notice, the "x" distance, whilst the balloons are moving up up and up, is not changing, thus, is a constant.