Relative Motion - Airplane Problem

[harujina]

Homework Statement

An airplane has a velocity 325km/h relative to the air. It is going in a direction [S30W]. There is a wind velocity of 80km/h[W]. What is the velocity of the plane relative to the ground?

Homework Equations

aVg + pVa = pVg
(velocity of air relative to ground + velocity of plane relative to air = velocity of plane relative to ground)

The Attempt at a Solution

pVa = 325km/h and aVg = 80km/h [W] and pVg = ? [S30W]

correct?
i know pVg^2 = aVg^2 + pVa^2
but, I'm not getting the number I'm supposed to?

 

[Basic_Physics]

The problem does not state specifically that the vectors form a 90 degree triangle. So you cannot assume that.

 

[lep11]

You could divide pVa into components.

 

[Basic_Physics]

Can you possibly attach a diagram showing the vectors?

 

[haruspex]

pVa = 325km/h and aVg = 80km/h [W] and pVg = ? [S30W]
Where do you get the direction from? I read it as pVa = 325km/h [S30W] and the direction of pVg is unknown. See if that gives the desired answer.