First, it's "heading" or "course," not "bearing."
Just figure the x- and y-displacements for each leg of the trip.
Add them up for a final location.
Then figure the distance and (yes) bearing of the port from there.
What do you get? I'll check your answer, or 'splain further if there's some step you can't figure out.
A fishing boat leaves port at 5 miles per hour at a bearing of 350∘ for 2 hours, then turns to a bearing of 40∘ at 12 miles per hour for 2 hours, and finally changes to a bearing of 180∘ at 10 miles per hour for 5 hours. At this point, the boat heads directly back to port at a speed of 3 miles per hour. Find the time it takes the boat to return to port as well as the boat's bearing as it does.
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1 answer