Leaving her house, Fatima walks 4 km west, turns left and walks 3 km, then turns left again and walks 8 km. How far and in which direction is she from her house?

Question

Accepted Answer

5 km South-East. West 4 km, then a left turn means south 3 km, then another left means east 8 km. Net: 8 − 4 = 4 km east and 3 km south. Distance = √(4² + 3²) = 5 km, towards the south-east.

Leaving her house, Fatima walks 4 km west, turns left and walks 3 km, then turns left again and walks 8 km. How far and in which direction is she from her house?

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