Finding Angle of Man Walking on Ship Relative to Water

[missashley]

Homework Statement

A ship cruises forward at Vs=5 m/s relative to the water. On deck, a man walks diagonally toward the bow such that his path forms an angle theta = 22 degrees with a line perpendicular to the boat's direction of motion. He walks at Vm = 2 m/s relative to the boat

http://img407.imageshack.us/img407/4973/boatum7.th.jpg

The speed he walks relative to the water is 5.749 m/s.

At what angle to his intended path does the man walk with respect to the water? Answer in degrees.

Homework Equations

I was thinking maybe of using Tan-1(opposite/adjacent)
or some thing to that effect

The Attempt at a Solution

Tan-1( but what is the opposite and adjacent?

Would it be 22 degrees? But 22 degrees is perpendicular to the boat's direction.
hmmm help please

 

[Dick]

First express the total velocity of the man by adding the velocity of the boat to his velocity relative to the boat. Break the two vectors into xy components and add them. Then we can talk about angles.