A ship leaves port at a bearing of 135 degrees, and travels a distance of 7 miles. What are the coordinates of the ship's position?

1 Answer
Shiva Prakash M V
Feb 12, 2018

The coordinates of the ship are
#4.948#miles south and #4.948#miles east

Explanation:

#135 degrees# is moving south and east

Distance travelled is #7# miles
It moves south by#7cos135=-4.948 #miles
negative sign indicates moving towards south
It moves east by #7sin135=4.948#miles
positive sign indicates moving rowards east
The coordinates of the ship are
#4.948#miles south and #4.948#miles east

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