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Fatima starts from point $P$, goes North for $3$ km, and then East for $4$ km to reach point $Q$. She then turns to face point $P$ and goes $15$ km in that direction. She then goes North for $6$ km. How far is she from point $P$, and in which direction should she go to reach point $P$?

- $\text{8 km, East}$
- $\text{12 km, North}$
- $\text{6k m, East}$
- $\text{10 km, North}$