Optimizing Flight Path: Accounting for Wind Speed and Direction

[TNewC]

A pilot flying his plane...

Homework Statement

A pilot is flying his plane 48.5 km/hr northward. He has forgotten to factor in a light wind from the east, going 0.85 km/hr. At what angle should he head his plane to factor in the wind?

Homework Equations

I don't know :(

The Attempt at a Solution

Well, I tried using some trig functions, and I got 1 degree, but I don't think that's right, and am now totally lost. Please help!

 

[owl]

I tried some trig too and got 1 degree west of north also... do you have any model answers at all?

 

[housemartin]

i think it must be 1 degree. Just try to draw the situation, you should get right triangle and then use tan(angle)=v(wind)/v(plane). But in order to neglect the wind pilot must head his plane at north east

 

[TNewC]

Thanks so much guys! I checked with my teacher and it was indeed 1 degree. I just didn't think that would make any sense, so I asked you guys. Thank you!