SOLUTION: Speed and Direction of a Ship. A ship's captain sets a course due north at 12 mph. The water is moving at 10 mph due west. What is the actual velocity of the ship, and in what dire

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Question 620638: Speed and Direction of a Ship. A ship's captain sets a course due north at 12 mph. The water is moving at 10 mph due west. What is the actual velocity of the ship, and in what direction is it travelling?

Round your answers to one decimal place.
The ship is travelling at approximately ? mph and the direction in which its travelling is approximately ? degrees west of due north.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Speed and Direction of a Ship. A ship's captain sets a course due north at 12 mph. The water is moving at 10 mph due west. What is the actual velocity of the ship, and in what direction is it travelling?
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The speed = sqrt%2812%5E2+%2B+10%5E2%29+=+sqrt%28244%29 mi/hr
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The angle wrt due North = atan(10/12) =~ 39.8 degs
--> track of 320 degs