Posted by **Jill** on Thursday, April 28, 2011 at 10:27pm.

A ship is 90 miles south and 20 miles east of port. The captain wants to travel directly to port. What bearing should be taken?

- Triggggggg -
**MathMate**, Thursday, April 28, 2011 at 11:51pm
"90 miles south and 20 miles east of port"

means the direction along which the ship must sail is:

x=-90, y=20

angle = atan(20,-90) = 180° - 12°-31'-44"

= 167°-28'-16" (in trigonometry notation).

To convert trigonometry notation to bearing, subtract angle from 90° or 450° if the angle exceeds 90°.

Bearing (clockwise from north)

= 450° - 167°-28'-46"

= 282°-31'-44"

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