An aeroplane has to go from a point A to another point B,1000 km away due 30º west of north. A wind is blowing due north at a speed of 20 m/s. The air-speed of the plane is 150 m/s. If the angle at which the pilot should head the plane to reach the point B is sin –1 (1/n) west of the line AB, Then find n.
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Sol.
velocity of plane w.r.t ground is along AB so perpendicular component (to line AB) of velocity is zero.
v sin φ = 20 sin30°
sin φ = 
= 
φ = sin –1 
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