Did I do this vector question right?
A plane is heading S 70degrees W with a groundspeed of 625km/h. If the pilot is steering west at an airspeed of 665km/h, what must be the windspeed and wind direction?
This is the diagram I drew, forgive me if the scaling is off:
The magnitude of the wind I found was:
w^2 = a^2 + g^2 -2(a)(g)(cos110degrees)
= about 1057 km/h
Is this wrong? I want to know if I have the right answer for the magnitude before attempting to find the direction of the wind. (Smirk)