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An aeroplane has to go from a point A to...

An aeroplane has to go from a point A to another point B, `500 km` away due `30^@` east of north. Wind is blowing due north at a speed of `20 m//s.` The steering-speed of the plane is `150 m//s.` (a) Find the direction in which the pilot should head the plane to reach the point B. (b) Find the time taken by the plane to go fram A to B.

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The correct Answer is:
[(a) `sin^(-1) (1//15)` east of direction Ab, (b) 50 min]
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