Question

A plane has an air speed of 200 m/s due north, and is in a wind of 50.0 m/s to the west

Answer 1

It has to fly a little bit to the east, so the velocity due north is cos of x, where the x is an angle between north and the direction of the airplane, because pilot must correct 50m every second and he is flying at 200m/s sin x = 0,25 . Simply find the angle, and you will have the speed (don't forget to write m/s as a unit)

Answer 2

I found my calc. OK here goes. The angle is 14,47751219°, there fore cos is 0,968245836 now do that times 200 to get the velocity due north : 193,6491673 m/s