Direction sense: Find M's direction from K on a compass grid. Given: K is 40 m to the South-West of L. Also: M is 40 m to the South-East of L. Question: In which direction is M located with respect to K? Choose the correct option.

Difficulty: Easy

Correct Answer: East

Explanation:

Given data

  • K is 40 m South-West of L.
  • M is 40 m South-East of L.

Concept/ApproachPlace L at the origin. Take East = +x and North = +y. South-West is (−, −) from L; South-East is (+, −). Only relative direction between K and M is asked.

Step-by-stepK ≈ (−40, −40)M ≈ (+40, −40)Vector K→M = (80, 0) ⇒ due East.

Common pitfallProjecting diagonals with √2 factors is unnecessary for direction; the sign pattern suffices.

Final AnswerEast

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