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I'm working on this problem and it's frustrated me and I was wondering if I could get a spot of help on it:

An airplane heads due south with an air speed of 480km/h. Measurements made from the ground indicate that the plane's ground speed is 528 km/h is 528 km/h at 15 degrees east of south. Calculate the wind speed.

I have a diagram of what I worked out so maybe someone could show me what I did right and what I did wrong, that'd be nice.

http://img497.imageshack.us/img497/6442/diag0ia.png [Broken]

An airplane heads due south with an air speed of 480km/h. Measurements made from the ground indicate that the plane's ground speed is 528 km/h is 528 km/h at 15 degrees east of south. Calculate the wind speed.

I have a diagram of what I worked out so maybe someone could show me what I did right and what I did wrong, that'd be nice.

http://img497.imageshack.us/img497/6442/diag0ia.png [Broken]

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