# Geometry/trig

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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 -

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.

• Geometry/trig -

X=68+1

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