A marine surveyor uses a rangefinder and a compass to locate

Last updated: 8/14/2022

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?