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Physics Vectors Level: High School

Vector - Magnitude

A lighthouse that rises h1 = 50.6 ft above the surface of the water sits on a rocky cliff that extends d = 20.1 ft from its base, as shown in the figure at "click here". A sailor on the deck of a ship sights the top of the lighthouse at an angle of theta = 31.5 degree above the horizontal. If the sailors eye level is h2 = 14.0 ft above the water, how far is the ship from the rocks ?