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A person 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
Visualize the Cartesian plane or use coordinate offsets: start at (0,0), move North (+5 Y), right/East (+3 X), and left/North (+2 Y) to find the final positive coordinates.
Visualize the Cartesian plane or use coordinate offsets: start at (0,0), move North (+5 Y), right/East (+3 X), and left/North (+2 Y) to find the final positive coordinates.
Initial Movement North
Assume the starting point is at the origin (0, 0). The person walks 5 km towards the North, moving the position to (0, +5).
First Turn and Movement
From North, turning right means facing East. Walking 3 km East shifts the position horizontally to (+3, +5).
Second Turn and Final Position
From East, turning left means facing North again. Walking 2 km North adds to the Y-coordinate, resulting in the final position of (+3, +7).
Direction Determination
Since both the X-coordinate (+3) and Y-coordinate (+7) relative to the starting point are positive, the person is located in the North-East direction.
B: North-West is incorrect because the final X-coordinate is positive (East), not West. C: South-East is incorrect because the final Y-coordinate is positive (North), not South. D: North is incorrect because the person has a displacement along the East axis as well.
A is correct because the final position coordinates relative to the start are (+3, +7), which places the person in the North-East direction.
Always establish a standard Cartesian coordinate system (North=positive Y, East=positive X) to avoid confusion during successive left and right turns.
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