The pilot of an aircraft wishes to fly due west in a wind blowing at 45 km/h toward the south. if the speed of the aircraft in the absence of wind is 165 km/h, in what direction (in degrees) should the aircraft head? use the counter-clockwise from east convention.

164.2°

Explanation:

speed of wind (w) = 45 km/h due south

speed of aircraft (a) = 165 km/h

in what direction (in degrees) should the aircraft head in so as to fly due west?

To get the direction the pilot should fly, we can form a triangle with the data available where

now sin θ =

sin θ =

θ = 0.2728

θ = 15.8°

since we are to use the counter-clockwise from east convention our measurement would have to be taken anticlockwise from the east direction, therefore the direction of the aircraft (Ф) = 180-15.8 = 164.2°

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