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While a helicopter hovers 1000 ft above the water, its pilot spies a man in a lifeboat through an angle of depression of 28 . Along a straight line, a rescue boat c...

Question

While a helicopter hovers 1000 ft above the water, its pilot spies a man in a lifeboat through an angle of depression of 28 . Along a straight line, a rescue boat can also be seen through an angle of depression of $14^{\circ} .$ How far is the rescue boat from the lifeboat? (FIGURE CAN NOT COPY)

While a helicopter hovers 1000 ft above the water, its pilot spies a man in a lifeboat through an angle of depression of 28 . Along a straight line, a rescue boat can also be seen through an angle of depression of $14^{\circ} .$ How far is the rescue boat from the lifeboat? (FIGURE CAN NOT COPY)



Answers

From the top of a 250 -foot lighthouse, a plane is sighted overhead and a ship is observed directly below the plane. The angle of elevation of the plane is $22^{\circ}$ and the angle of depression of the ship is $35^{\circ} .$ Find a. the distance of the ship from the lighthouse; b. the plane's height above the water. Round to the nearest foot.


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