A Coast Guard cutter detects an unidentified ship at a distance of 18.6 km in th

Question

A Coast Guard cutter detects an unidentified ship at a distance of 18.6 km in the direction 14.7 degree east of north. The ship is traveling at 28.6 km/h on a course at 35.3 degree east of north. The Coast Guard wishes to send a speedboat to intercept the vessel and investigate the vessel. If the speedboat travels 51.3 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north. Your response differs from the correct answer by more than 10%. Double check your calculations. degree east of north

Explanation / Answer

using law of sin's

sintheta/28.6t = sin(180-35.3+14.7)/51.3t

sintheta = 28.6*sin159.4/51.3 = 0.196

theta = 11.31 degrees

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