math

posted by .

a boat travels at 16 knots
1st leg: 6hr @ S63W
2nd leg: 4hr @ N10E
find time and bearing back to port

• math -

6hr @ S63W = 96@S63W = (-85.53,-43.58)
4hr @ N10E = 64@N10E = (11.11,63.03)
add them up to get (-74.42,19.45) = 76.92@N75W

So,
the bearing of the port on return is S75E.
Time to port is 76.92/16 = 4.8 hr

Similar Questions

1. Math

A fishing boat leaves port at 11 miles per hour at a bearing of 210 degrees for 2 hours, then turns to a bearing of 250 degrees at 8 miles per hour for 4 hours, and finally changes to a bearing of 280 degrees at 7 miles per hour for …
2. Math

A fishing boat leaves port at 11 miles per hour at a bearing of 210 degrees for 2 hours, then turns to a bearing of 250 degrees at 8 miles per hour for 4 hours, and finally changes to a bearing of 280 degrees at 7 miles per hour for …
3. math

A fishing boat leaves port at 11 miles per hour at a bearing of 210 degrees for 2 hours, then turns to a bearing of 250 degrees at 8 miles per hour for 4 hours, and finally changes to a bearing of 280 degrees at 7 miles per hour for …
4. Maths A

Sue was sailing in the area shown on the chart on 3 March 2013. At 9:00 a.m., she sighted the antenna mast on Wellings Island on a bearing of 180°T. Sue also took a sighting to the lighthouse on Abby Island and found it was at an …
5. Math

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 …
6. Math

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 …
7. Math

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 …
8. Vectors

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 …
9. Math, Precalc

A fishing boat leaves port at 4 miles per hour at a bearing of 80∘ for 3 hours, then turns to a bearing of 0∘ at 3 miles per hour for 4 hours, and finally changes to a bearing of 200∘ at 6 miles per hour for 5 hours. At this …
10. maths

An Aircraft Flies Round A Triangular Curve,the First Leg Is 200km On A Bearing Of 115^o And The Second Leg Is 150km On A Bearing Of 230^o.How Long Is The Third Leg

More Similar Questions