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Archived Relative Motion in Two Dimensions

1. Homework Statement
A light plane attains an airspeed of 500 km/h. The pilot sets out for a destination 800 km due north but discovers taht the plane must be headed 20.0 degree East of due North to fly there directly. The plane arrives in 2.00 h. what were the (a) magnitude and (b) direction of the wind velocity?


2. Homework Equations
Vwg = Vpg + Vpw


3. The Attempt at a Solution
I had used the law of cosines to find the magnitude of the Vwg which comes out to be 185 km/h, but the direction I calculated is wrong. Could someone pinpoint me in the right direction as far as how to draw the vectors for this relative motion in two dimension?

Thanks.
 
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Unfortunately, I also need help with this!
 

scottdave

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Try drawing a vector showing where the plane would go (pointing where the pilot pointed) if there were no wind. Then draw another vector of the actual path. Then connect the ends of those two vectors with the wind vector.
 

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