An airplane has a velocity of 580 km/h relative to the moving air. At the same time, a wind blows northward with a speed of 92 km/h relative to earth. The airplane is moving in an easterly direction relative to earth. Find the speed of the airplane to relative to earth (answer in terms of degrees south of east).

Answer 1

X = 580 km/h = Velocity of airplane.
Y = 92 km/h = Velocity of wind.

Tan A = Y/X = 92/580 = 0.15862
A = 9.0o N. of E.

Speed = Sqrt(X^2+Y^2) = km/h.

Since the wind is northward, the
direction is N. of E. NOT S. of E.