A marine surveyor uses a rangefinder and a compass to locate a ship and an island in the vicinity of the coast on which she stands. The rangefinder indicates that the island is 379 ft from her position and the ship is 600 ft from her position. Using the compass, she finds that the ship's azimuth (the direction measured as an angle from north) is 325 degrees and that of the island is 32 degrees. What is the distance between the ship and the island?
1 answer
use the law of cosines. The angle between the bearings is 35+32 = 67 degrees.