A man moves towards east a distance of 2 km, then he turns 60º in the anti-clockwise direction and walks 4 km, again turns 30º in the anti-clockwise direction and walks 2√3 km. what is the shortest distance between his initial and final positions. In which direction is he facing at last?

1
6 km, west
2
6 km, north
3
8 km, west
4
8 km, north

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