Anamika starts from Point A and drives 2 km towards the north. She then takes a right turn, drives 5 km, turns right and drives 7 km. She then takes a right turn and drives 8 km. She takes a final right turn, drives 5 km and stops at Point P. How far (shortest distance) and towards which direction should she drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)
3 km to the east
Starting at A=(0,0) facing North, driving 2 km North gives (0,2).
Right turn (North to East), 5 km East: (5,2). Right turn (East to South), 7 km South: (5,-5).
Right turn (South to West), 8 km West: (-3,-5). Final right turn (West to North), 5 km North, reaching Point P=(-3,0).
Point A is at (0,0); Point P is at (-3,0), directly west of A.
So from P, A lies to the east.
Hence, Anamika should drive 3 km to the east to reach Point A again.
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Important Questions from Direction and Distance Turns
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