A Coast Guard cutter detects an unidentified ship at a distance of 21.0 km in the direction 15.0° east of north. The ship is traveling at 20.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat to intercept and investigate the vessel. (a) If the speedboat travels at 58.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north.

(b) Find the time required for the cutter to intercept the ship.