A boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work.

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  1. Draw the diagram and review your basic trig functions. It should be clear that the distance x can be found using
    15/x = sin65°
    x = 16.55 ft

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