More vector help

1. Sep 20, 2006

NIZBIT

I am stuck on two problems and I keep getting them wrong. Its been a while since I did vectors so I'm a little rusty.

1. Bob walks 200 m south, then jogs 730 m southwest, then walks 200 m in a direction 27.0 degrees east of north. What is the distance and angle?

2. A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 6.0m/s. A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 8.0m/s relative to the air, what direction should they head in order to move directly south?

I know these are probably simple, but I'm banging my head on these two. For problem 1, I tried graphically to resolve the vectors using tip to tail but my apporach. Promlem 2 if the wind is blowing from the west so its 6m/s east?

2. Sep 20, 2006

Yes, draw the vectors and everything should be prefectly clear.

$$\vec{v}_{ducks, total}=\vec{v}_{wind}+\vec{v}_{ducks,relative to wind}$$. The wind vector is known, as is the direction of the final velocity vector of the ducks. Just use the vector equation and the known magnitudes. Solve graphically.

3. Sep 20, 2006

NIZBIT

I'm getting a rounding or sig fig error on #1. For the distance I got 710.7 so 711?

4. Sep 20, 2006