Question bank/JEE Main/Physics

A plane is flying with an air speed 10 m/s toward north but
suddenly encounters a wind of 10 m/ s at 30º north of east. If angle
made by new direction of velocity of plane with respect to ground from
north direction is $\frac{\pi}{n}$ then find the value of n

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The angle θ = $\pi/6$

Source: Grass-G / P-05 Physics paper 10 October.docx