Bhavesh starts from Point A and drives 19 km towards the east. He then takes a left turn, drives 16 km, turns left and drives 23 km. He then takes a left turn and drives 18 km. He takes a final left turn, drives 4 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.)
2 km to the north
Starting facing East and turning left at each step (East to North to West to South to East), the path covers 19 km East, 16 km North, 23 km West, then 18 km South, and finally 4 km East after a last left turn.
Plotting coordinates from the start (0,0): after all the moves, point P is reached at coordinates (0, -2).
Point A is at the origin (0,0), so from P the direction back to A is straight North, a distance of 2 km.
Hence, Bhavesh should drive 2 km to the north to reach Point A again.
Similar Questions
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Important Questions from Direction and Distance
- Vijendra walks a certain distance, say X metres, from his home towards the west. Then he turns left and walks 23 metres. After that, he turns left and walks 36 metres. Then he turns left again to walk 23 metres. He finally turns left and walks 18 metres to reach his home. Find the value of X.
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Reeta is standing facing south-east. First, she turns 135° clockwise. After that, she turns 90 ° anticlockwise. Then she turns 45 ° clockwise, followed by a 135 ° anticlockwise turn. In which direction is she facing now?
Sahasra started running from her house towards the north. After 40 meters she turned left and ran for 75 meters. She then turned right and ran for 30 meters, and again turned right to run 75 meters. In which direction was she running finally?
At the time of sunset, Lopa and Kritika are sitting facing each other. If the shadow of Lopa falls to the right of Kritika, in which direction is Kritika facing?
