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In a harbour, wind is blowing at the speed of 72 km/h and the flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starts moving at a speed of 51 km/h to the north, what is the direction of the flag on the mast of the boat?
Asked by Abhay Last Modified
Answer 
Taking wind velocity direction (45 degrees) into account, the velocity component along east and north direction would be 72 cos 45 or 36√2.
If the boat goes at 51 towards north, the relative wind velocity would be 51-36√2 towards south and 36√2 towards east.
Taking the above into account, the flag would be showing a eastern direction as the north-south relative component (51-36√2) comes close to 0.
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