A man walks 24 m north, then 16 m east, then 12 m south. In which direction is he from his starting point?
Answer and explanation
Correct answer: B. north-east
- Step 1: Determine the net coordinates relative to the start: the net vertical position is , and horizontal position is .
- Step 2: Plot these positive coordinates on the compass plane: is north and is east, placing the final point in the first quadrant.
- Step 3: Therefore, from the starting point, the person is located in the north-east direction.
Answer
north-east.
Why not the others: The alternative displacement options (south-east, north-west, south-west) result from confusing clockwise and counter-clockwise turns or adding orthogonal distances linearly.
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