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The speed of an airplane is 275 mi/h relative to the air. The wind is blowing due north with a speed of 25 mi/h. In what direction should the airplane head in order to arrive at a point due west of its location?

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Answer:

Step-by-step explanation:

The free-body diagram of the information given in the question is attached in the image below.

Using the property of Vector Right Triangle:

cos θ = adjacent/hypotenuse

cos θ = 25 mi/h / 275 mi/h

cos θ = 0.0909

θ = cos⁻¹ (0.0909)

θ = 84.79°

Therefore,  the airplane should head in the direction of S 84.79° W to reach the desired location.

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