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Rohan starts from point A and walks 5 m towards North. Then he turns right and walks 6 m. He then turns left and walks 4 m. Finally, he turns left and walks 6 m. In which direction is he now with respect to the starting point?
North
North-East
North-West
South
North
Track the Cartesian coordinates: Start (0,0), add movements (North=+Y, South=-Y, East=+X, West=-X). Final position (x, y) = (6-6, 5+4) = (0, 9). Since x=0 and y is positive, the direction is North.
Track the Cartesian coordinates: Start (0,0), add movements (North=+Y, South=-Y, East=+X, West=-X). Final position (x, y) = (6-6, 5+4) = (0, 9). Since x=0 and y is positive, the direction is North.
Establish Starting Point
Assume starting point A is at origin coordinates (0, 0).
Trace Movement Steps
Determine Final Direction
The final coordinate is (0, 9). Since the X-coordinate is 0 and the Y-coordinate is positive, Rohan is directly North of the starting point.
B: Incorrect, as the net East-West displacement is 0. C: Incorrect, as there is no westward displacement remaining. D: Incorrect, as the net movement along the Y-axis is positive (9m North).
A is correct because the net horizontal displacement is zero (6m East - 6m West) and the net vertical displacement is 9m North, placing Rohan directly North of point A.
In direction problems, always sum the movements of opposite directions separately (North vs South, East vs West) to find the net displacement instantly without drawing.