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
Feb 12, 2018

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

Explanation:

135 degrees is moving south and east

Distance travelled is 7 miles
It moves south by7cos135=-4.948 miles
negative sign indicates moving towards south
It moves east by 7sin135=4.948miles
positive sign indicates moving rowards east
The coordinates of the ship are
4.948miles south and 4.948miles east