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Hey, can you guys help me on this physics problem from my test prep book? It seems pretty basic but I'm just not getting the right answer.
Here it is:
A Coast Guard cutter detects an unidentified ship at a distance of 16.0 km in the direction 15.0° east of north. The ship is traveling at 22.0 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 44.0 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.
Any help would be greatly appreciated.
Here it is:
A Coast Guard cutter detects an unidentified ship at a distance of 16.0 km in the direction 15.0° east of north. The ship is traveling at 22.0 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 44.0 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.
Any help would be greatly appreciated.