A Coast Guard cutter detects an unidentified ship at a distance of 22.0 km in the direction 15.0° east of north. The ship is traveling at 25.0 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 52.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north.
__________________° east of north
(b) Find the time required for the cutter to intercept the ship.
__________________ min