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A marine surveyor uses a rangefinder and a compass to locate a ship and an...

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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 386 m from her position and the ship is 589 m from her position. Using the compass, she finds that the ship ship's azimuth (the direction measured as an angle from north) is 319 and that of the island is 38. What is the distance between the ship and the island?

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