Challenge! Ready? A boat in calm seas travels in a straight line and ends the trip 22 km west and 53 km north of its original position. To the nearest tenth of a degree, find the direction of the trip.

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Challenge! Ready? A boat in calm seas travels in a straight line and ends the trip 22 km west and 53 km north of its original position. To the nearest tenth of a degree, find the direction of the trip.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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You use that right?
So is it just the normal challenge or are you actually solving it this time?

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I wasn't sure about this one.
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Assume the start is at (0,0) The end is at (-22,53). ---- direction = tan^-1(-53/22) = -67.46 But the angle is in the 2nd Quadrant. So, direction = -67.46 + 180 = 112.54 degrees. Is this right?
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So did I do that correctly?
or noo
arctan(53/22)=67.5° N 22.5° W, 22.5° west of north
I got an angle of 22.5 degrees West of North, that would resolve to a bearing of 360-22.5 degrees or 337.5 degrees on a compass.
Taking in consideration that North is 0 degrees, I say you got it right.
Note that direction, North is 0 degrees and then you rotate clockwise, East is 90 degree, South is 180 degress etc.
However, I would check with your instructor, what he wants
22.5 West of North also describes it well.
And it was right to this? http://assets.openstudy.com/updates/attachments/55b62750e4b0d48ca8eef4f1-lollygirl217-1438001228465-as.jpg
That describes the absolute angle. But you are asked for "direction"
Your response 22.5 degrees west of north, should be satisfactory.
See. https://en.wikipedia.org/wiki/Compass_rose

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