Question

1. A plane is headed at 122 degrees with an air speed of 350mph in a wind that is blowing from 38 degrees. Find the ground speed of the plane and the speed of the wind if the actual flight was at 133 degrees.

2. A plane is heading at 20 degrees at 300mph If a wind is blowing from 170 degrees at 42mph , find the direction and the ground speed of the plane.

Answer 1

2. V = 300mi/h[20o] + 42mi/h[170o].

X = 300*cos20+42*cos170 = 240.5 mi/h.
Y = 300*sin20+42*sin170 = 109.9 mi/h.

tanA = Y/X = 109.9/240.5 = 0.45696
A 24.6o = Direction.

V=X/cosA = 240.5/cos24.6=264.4 mi/h [24.6o].