Posted by **Dragon** on Wednesday, January 26, 2011 at 8:24pm.

I can't seem to figure this out.

A ship leaves at noon and travels due West at 20 knots. At 2:00 it changes to N54°W...Find the bearing and the distance FROM port at 3:00 pm.

I've looked at this program for a while but can't figure it out.

- Math (Pre-cal) -
**MathMate**, Wednesday, January 26, 2011 at 8:59pm
What program are you looking at?

The calculations can be done by hand.

The ships sails due west for two hours at 20 knots, so by 14:00, it is 40 knots west of port.

It then changes course to N54°W for one hour. So it has travelled further west 20*tan(54°) and towards north 20cot(54°).

So total distance due west

x = -(40+20tan(54°))

and due north

y = 20cot(54°)

Thus bearing at 15:00 is

N tan^{-1}(x/y) W

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