Question:

Manish goes 8 km in the North from his school. Now, turning to the left, he goes 15 km and again turns to the left and goes to 8 km. How far he is from his school and in which direction?

Updated On: May 11, 2025
  • 15 km, South from school
  • 8 km, North from school
  • 8 km, West from school
  • 15 km, West from school
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The Correct Option is D

Solution and Explanation

To solve the problem of determining how far Manish is from his school and in which direction, we can break down his movement step by step:
  • Initially, Manish goes 8 km towards the North.
  • Then, he turns to his left and travels 15 km. Since he was facing North, his left turn will now have him facing West.
  • After traveling 15 km to the West, he again turns to his left. Now facing South, he travels 8 km.
To determine how far he is from the school and in which direction, observe his final position relative to the starting point (his school):

Since he traveled 8 km North initially and then 8 km South finally, he returns to the same latitude (horizontal level). His last move, 15 km to the West, determines his final displacement from his school.

DirectionDistance traveled from initial point
North8 km
West15 km
South8 km
This means the net displacement is 15 km to the West. Therefore, Manish is 15 km, West from his school.
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