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Vwind = 47km/hr at 211 degrees

Vg = unknown speed at 165 degrees

find the unknowns

my attempt using component method:

(Cos 165)Vg = (Cos 211)47 + (Cos theta)63

(Sin 165)Vg = (Sin 211)47 + (Sin theta)63

from here i think I am supposed to isolate Vg and then subsitute to find the unknown angle and then plug the angle into get the speed but I am not quite sure

I know i can use the cosine law or sine law but I have to learn both ways so that's why I am using the component method