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A man walks 5 km towards the North, turns right and walks 3 km, then turns left and walks 2 km. In which direction is he from the starting point?
North-East
North-West
South-East
North
North-East
Track net Cartesian coordinates (X, Y) relative to start (0,0): final position is (3, 7), which falls cleanly in the North-East quadrant.
Track net Cartesian coordinates (X, Y) relative to start (0,0): final position is (3, 7), which falls cleanly in the North-East quadrant.
Initial North Movement
Start at origin (0,0) and move 5 km North to position (0,5).
First Turn Right (East)
Facing North, a right turn points East. Move 3 km horizontally to position (3,5).
Second Turn Left (North)
Facing East, a left turn points North. Move 2 km vertically to final position (3,7).
Net Direction from Start
Displacement from (0,0) to (3,7) has positive X (+3 East) and positive Y (+7 North), placing him in North-East.
B: North-West requires a negative X offset (West); C: South-East requires a negative Y offset (South); D: North ignores the 3 km East displacement.
A is correct because final coordinates (3,7) relative to the starting point (0,0) show positive displacement in both East and North directions.
Always differentiate between 'direction facing right now' (North) and 'direction from the starting point' (North-East).
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