Shreya starts from Point A and drives 22 km towards the north. He then takes a right turn, drives 24 km, turns right and drives 28 km. He then takes a right turn and drives 30 km. He takes a final right turn, drives 6 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)
6 km to the east
Starting facing North and turning right each time (North to East to South to West), the path covers 22 km North, 24 km East, 28 km South, reaching (24, -6) from A at the origin.
A right turn (South to West) and 30 km West brings the path to (-6, -6). A final right turn (West to North) and 6 km North brings point P to (-6, 0).
Since A is at the origin (0, 0) and P shares the same y-coordinate, only a horizontal move is needed: 6 km East from P reaches A.
Hence, Shreya should drive 6 km to the east to reach Point A again.
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Important Questions from Direction and Distance
What is the direction of U with respect to P?
What is the shortest distance between R and T?
If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?
In which direction is Amit facing at point F?
What is the distance between the starting point and the end point?
