Question

The pilot of an aircraft wishes to fly due west in a 36.8 km/h wind blowing toward the south. The speed of the aircraft in the absence of a wind is 190 km/h.10.90° north of west. What should its speed relative to the ground be?

Answer 1

we need to fly in west direction so resultant velocity should be in west and hence velocity due to wind in south should cancel out with velocity componenet in north.
hence x sin 10.9 = 36.8

find x , the speed of the plane