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Let VB makes angle 'x' with the line joining A & B.Then component of both velocities perpendicular to line AB must be equal if they are to meet(collide).
VB Sinx = VA Sin(30degree) = 10*1/2 = 5
VB to be min. Sinx must be max. as their product is a constant.So max(Sinx)=1
VB = 5 m/s
Here it simply uses the fact that minimum distance of a point from a given line is perpendicular from that point to that line.
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