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Question

An aeroplane pilot wishes to fly due west, the wind of 100 kmph is flowing towards the south. If the speed of the plane in still air is 300 kmph, In which direction should the pilot head?

A
sin1(13) N of W
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B
sin1(23) S of W
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C
sin1(13) W of N
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D
cos1(13) N of W
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Solution

The correct option is A sin1(13) N of W
Given velocity of wind is VW=100(j)
|VPW|=300

VP should be towards west as per question.
Now VPW=VPVW
VP=VPW+VW

using triangle law

Now sinθ=|VW||VPW|
sinθ=100300=13θ=sin1(13) N of W

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