SOLUTION: A boat in the 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 th

Algebra ->  Pythagorean-theorem -> SOLUTION: A boat in the 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 th      Log On


   

Question 634723: A boat in the 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.
Found 2 solutions by asuar010, stanbon:
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
arctan%2822%2F35%29=22.5 west of north

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A boat in the 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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Assume the start is at (0,0)
The end is at (-22,53).
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direction = tan^-1(-53/22) = -67.46
But the angle is in the 2nd Quadrant.
So, direction = -67.46 + 180 = 112.54 degrees
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Cheers,
Stan H.
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