The captain of the Coast Guard Cutter Pendant plans to sail to a port that is 450 miles away and 12° east of north. The captain first sails the ship due north to check a buoy. He then turns the ship and sails 316 miles to the port.
a. In what direction should the captain turn the ship to arrive at the port?
b. How many hours will it take to arrive at the turning point if the captain chooses a speed of 23 miles per hour?
c. Instead of the plan above, the captain decides to sail 200 miles north, turn through an angle of 20° east of north, and then sail along a straight course. Will the ship reach the port by following this plan?
