Related Rates of Change: balloons and bicycles

A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the lift off point. At the moment the range finder’s elevation angle is pi/4, the angle is increasing at the rate of 0.14 rad/min. How fast is the balloon rising at that moment?

A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 65 ft above the ground, a bicyle moving at a constant rate of 17 ft/sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 3 sec later?