An airplane has a ground velocity of $400$ km$/$h$,[$N$60$W$].$ The plane is affected by a $90$ km$/$h wind which is coming from the direction $[$N$80$E$].$ Determine the magnitude and the direction of the airspeed vector. Please draw the original vectors on a grid and rearrange them properly. Please use the cosine law and the law of sines. Components are not permitted.