In a harbour, wind is blowing at the spe...

In a harbour, wind is blowing at the speed of `72km//h` and the flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starst moving at a speed of `51km//h` to the north. What is the direction of the flag on the mass of the boat?

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The correct Answer is:

east

Direction of flag=Resultant direction of the wind velocity and the opposite of boat vlocity
`rArr vec(v)_(w)-vec(v)_(B)=72/sqrt(2)(hat(i)+hat(j))-51 hat(j)`
`=36sqrt(2) hat(i)+(36sqrt(2)-51)hat(i)=36sqrt(2)hat(i)` (EAST)

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