Q: A ship leaves the port of LA and travels 120 miles on a bearing of S47ºW and then 110 miles on a bearing of N80ºW. Find the total distance traveled South and West and also its bearing from the port of LA.

I have found the distance traveled South and West (approx. 62.74mi and 196.09mi, respectively), but I don't know how to find the baring in this type of problem.

1 answer

I assume you can find the normal trig angle associated with the point.

For an angle θ, measured clockwise, the bearing is 90+θ.

Just plot the point and note how many degrees clockwise from vertical it is. That is the compass heading.