A fishing boat leaves port at 8 miles per hour at a bearing of 220∘ for 5 hours, then turns to a bearing of 270∘ at 11 miles per hour for 4 hours, and finally changes to a bearing of 300∘ at 9 miles per hour for 4 hours. At this point, the boat heads directly back to port at a speed of 4 miles per hour. Find the time it takes the boat to return to port as well as the boat's bearing as it does.

1 answer

ships sail on headings, not bearings. A bearing is the direction of an object from your position. (It may also be your heading, if you are going directly there.)

So, can you at least convert those times and speeds to distance vectors?

Add them all up x-y wise and figure the final location.

Then just figure the distance and heading. (the bearing of the port)