Geometry/trig
posted by Lezah on .
A plane is flying due south at a speed of 300 mph. The wind is blowing from the west at a speed of 40 mph. Find the resultant speed of the plane and the direction of the plane

V = 300 mi/h @ 270Deg + 40 mi/h @ 0Deg.
X = 40 mi/h.
Y = 300 mi/h.
tanA = Y/X = 300 / 40 = 7.500.
A = 82.4 Deg.,CW.
A = 82.4 + 360 = 277.6 Deg, CCW.
Vp = X/cosA = 40 / cos277.6 = 303 mi/h
@ 277.6 Deg.