Kunal walks 10 kilometers towards North. From there, he walks 6 kilometers…

2025

Kunal walks 10 kilometers towards North. From there, he walks 6 kilometers towards South. Then, he walks 3 kilometers towards East. How far and in which direction is he with reference to his starting point?

  1. A.

    13 km towards South-West

  2. B.

    5 km towards North-East

  3. C.

    3 km towards South-West

  4. D.

    5 km towards South-East

Attempted by 59 students.

Show answer & explanation

Correct answer: B

Answer: 5 km towards North-East.

  • Step 1: Net north-south displacement = 10 km north − 6 km south = 4 km north.

  • Step 2: Net east-west displacement = 3 km east.

  • Step 3: Distance from start = √(4^2 + 3^2) = 5 km (a 3-4-5 right triangle).

  • Step 4: Direction = arctan(3/4) east of north, i.e., towards the north-east.

Therefore, the final position is 5 km towards the north-east from the starting point.

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