There is something wrong with this vector problem

[flyingpig]

Homework Statement

[PLAIN]http://img197.imageshack.us/img197/125/unledcxk.png

The Attempt at a Solution

I added the two vectors and took the tangent of it.

I got 37.7 degrees the first time, but it was wrong.

I don't even know why the magnitude is wrong.

 

[Hammie]

what vectors did you add? You have to separate the original vector into horizontal and vertical components. then add the individual horizontal and vertical components.

the wind form the west, does not add or subtract from the vertical component.

A reasonable answer as to ground speed would have to be greater than the original airspeed of the airplane.

 

[flyingpig]

$$p = <250\sqrt{2}, 250\sqrt{2}>$$
$$w=<-80,0>$$

$$p+w =<250\sqrt{2} - 80, 250\sqrt{2}>$$

 

[Hammie]

The wind from the west is moving east.

I think that is the problem here.. the east wind is contributing to the horizontal component you posted. In other words, I think you may want to try adding instead of subtracting.

 

[flyingpig]

thanks, problem solved lol