A lighthouse that rises 49 ft above the surface of the water sits on a rocky cliff that ex...

A lighthouse that rises 49 ft above the surface of the water sits on a rocky cliff that extends 19 ft from its base, as shown in Figure. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 30.0° above the horizontal. If the sailor’s eye level is 14 ft above the water, how far is the ship from the rocks?

FIGURE