Homework Help: Geometry/trig

Posted by Lezah on Monday, February 6, 2012 at 4:40pm.

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

Geometry/trig - Henry, Wednesday, February 8, 2012 at 6:42am
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.

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