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 24.0 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. 28 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.° east of north (b) Find the time required for the cutter to intercept the ship. min

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 24.0 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. 28 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.° east of north (b) Find the time required for the cutter to intercept the ship. min