Sitara starts from Point A and drives 23 km towards the west. He then takes a left turn, drives 24 km, turns left and drives 33 km. He then takes a left turn and drives 34 km. He takes a final left turn, drives 10 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.)
10 km to the south
Starting at A, moving 23 km west, a left turn faces him south, so he drives 24 km south.
Another left turn from facing south faces him east, so he drives 33 km east.
Another left turn from facing east faces him north, so he drives 34 km north.
A final left turn from facing north faces him west, so he drives 10 km west and stops at P.
Tracking net displacement: west-east movement is \(23+10-33=0\) km (starting west 23, then west again 10, minus east 33, net zero east-west), and north-south movement is \(34-24=10\) km net north.
So P is 10 km due north of A, meaning to return to A, Sitara must travel 10 km to the south.
Hence, he should drive 10 km to the south to reach Point A again.
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Important Questions from Direction and Distance Turns
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A. 35
B. 20
C. 25
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