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A ship sights a lighthouse directly to the south. A second ship, 9 miles east of the first ship, also sights the lighthouse. The bearing from the second ship to the...

Question

A ship sights a lighthouse directly to the south. A second ship, 9 miles east of the first ship, also sights the lighthouse. The bearing from the second ship to the lighthouse is $\mathrm{S} 34^{\circ} \mathrm{W}$. How far, to the nearest tenth of a mile, is the first ship from the lighthouse?

A ship sights a lighthouse directly to the south. A second ship, 9 miles east of the first ship, also sights the lighthouse. The bearing from the second ship to the lighthouse is $\mathrm{S} 34^{\circ} \mathrm{W}$. How far, to the nearest tenth of a mile, is the first ship from the lighthouse?



Answers

Distance at Sea From the top of a 200 -ft lighthouse, the
angle of depression to a ship in the ocean is $23^{\circ} .$ How far is
the ship from the base of the lighthouse?


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