As two boats approach the marina, the velocity of boat 1 relative to boat 2 is 2.5m/s in a direction 47.0° east of North. if boat 1 has a velocity that is 0.775m/s due north, what is the velocity (magnitude and direction) of boat 2?

Answer 1

sketch the diagram. You have one angle, two sides.
You can use law of sines to find another angle, then laws of cosines/sines to find other angles and sides. Or you can do it analytically.
V1 + V2 = V12
where V12=2.5@47E of N
and V1=.775 N
if you break these into N, E components then you can solve for V2 in N,E components