SOLUTION: A ship is due west of a lighthouse. A second ship is 12 miles south of the first ship. The bearing from the second ship to the lighthouse is N64˚E. How far, to the nearest

Algebra ->  Trigonometry-basics -> SOLUTION: A ship is due west of a lighthouse. A second ship is 12 miles south of the first ship. The bearing from the second ship to the lighthouse is N64˚E. How far, to the nearest       Log On


   



Question 1005704: A ship is due west of a lighthouse. A second ship is 12 miles south of the first ship. The bearing from the second ship to the lighthouse is N64˚E.
How far, to the nearest tenth of a mile, is the second ship from the lighthouse?

Answer by Alan3354(69443) About Me  (Show Source):
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A ship is due west of a lighthouse. A second ship is 12 miles south of the first ship. The bearing from the second ship to the lighthouse is N64˚E.
How far, to the nearest tenth of a mile, is the second ship from the lighthouse?
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This is a right triangle.
The distance from ship 2 to the lighthouse is the hypotenuse.
The interior angle at the 2nd ship is 64 degs.
--> cos(64) = 12/hyp
hyp = 12/cos(64)
=~ 27.4 miles