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Question

An aeroplane has to go from a point A to B due north. Wind is blowing due east at a speed of 250 km/h. If the air speed of plane is 500 km/h then its direction of head to reach point B is :

A
15 west of north
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B
60 west of north
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C
45 west of north
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D
30 west of north
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Solution

The correct option is D 30 west of north
Let us suppose aeroplane heads at an angle of θ west of north.
The data given in the question is shown in the figure below.


To reach from point A to B, velocity (vn) of aeroplane should be along the direction of AB.
velocity along the West-East axis should be equal to zero.
vwe=0
250500sinθ=0
sinθ=12
θ=30
The aeroplane should head at an angle of 30 west of north.
Hence, option (d) is correct answer.

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