I don't understand if some one could break down step by step:)
A ship leaves port traveling southwest at a rate of 12 miles per hour. At noon, the ship reaches its closest approach to the radar station, which is on the shore 1.5 miles from the port. If the ship maintains its speed and course, what is the rate of change of the tracking angle theta between the radar station and the ship at 1:30PM (see figure below left)? You must get from a point P on the straight shore of a lake to a stranded swimmer who is 50 meters from a point Q on the shore that is 50 meters from you (see figure above right). If you can swim at a speed of 2 m s and run at a speed of 4 m s. Determine the point along the shore, x meters from Q. at which you should stop running and start swimming if you want to reach the swimmer in the minimum time.
