[Related Rates) A cyclist riding at a constant 4 meters per second passes directly under- neath...
[Related Rates) A cyclist riding at a constant 4 meters per second passes directly under- neath a hot air balloon which is 30 meters above the ground and rising at a constant 1 meter per second A) How fast is the distance between the cyclist and the balloon increasing 3 seconds later? B) Assume that these speeds had been constant for some time before the cyclist passed un- derneath the balloon. Suppose that 4 seconds before passing directly underneath, the cyclist looked up to view the hot air balloon. How fast was the cyclist's angle of view changing at this instant? Is the angle increasing, or is it decreasing?