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Harsh moves 15 kms in East direction, then turns towards North and moves 4 kms. From there he turns West and travels 12 kms. How far and in which direction is he from his starting point?

#### Options

5 kms, North-East

5 kms, South-West

27 kms, North-East

19 kms, North-East

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#### Solution

5 kms, North-East

**Explanation:**

A = starting point, C = end point

Point C is north-east in direction with respect to point A.

Distance between AC = `sqrt("AB"^2 + "BC"^2)`

`= sqrt((3)^2 + (4)^2)`

`= sqrt(9+16) = sqrt25` = 5 kms

Therefore, Harsh is 5 kms and in north-east direction from his starting point.

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