7
QuizMultiple Choice

Applying Vectors in the Plane — Quiz

Question 7 • Precalculus

A plane flies at 350 mph in the direction 40 degrees north of east, with a wind blowing at 40 mph in the direction 30 degrees south of east. What is the plane’s drift angle?

Answer
A
5.90 degrees
B
6.38 degrees
C
46.38 degrees
D
45.89 degrees

Explanation

Resolve the plane’s velocity and the wind into east and north components. The plane contributes about 267.85 mph east and 224.98 mph north; the wind adds 34.64 mph east and subtracts 20 mph north. The combined direction is arctan(204.98 ÷ 302.49) ≈ 34.1° north of east, which is about 5.90° south of the plane’s intended 40° direction. So the drift angle is 5.90 degrees, choice A.

AI-written and checked against the verified answer.

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