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A person walks 12 meters towards the North, turns left and walks 8 meters, then turns right and walks 6 meters. Finally, he turns right and walks 8 meters. How far is he from the starting point?
18 meters
20 meters
22 meters
24 meters
18 meters
Track the Cartesian coordinates: X for East-West and Y for North-South displacement. The total distance from origin is the square root of (X squared + Y squared).
Track the Cartesian coordinates: X for East-West and Y for North-South displacement. The total distance from origin is the square root of (X squared + Y squared).
Mapping movements to Cartesian coordinates
Start at (0, 0). 1. Walk 12m North: (0, 12). 2. Turn left (West) 8m: (-8, 12). 3. Turn right (North) 6m: (-8, 18). 4. Turn right (East) 8m: (-8+8, 18) which results in (0, 18).
Calculating final distance
The final position is (0, 18). The distance from the starting point (0, 0) is the absolute vertical difference: 18 - 0 = 18 meters.
B: 20 meters is incorrect because the horizontal displacement cancels out to 0; C: 22 meters is incorrect as it ignores the coordinate path; D: 24 meters is incorrect because it incorrectly sums segments rather than calculating net displacement.
A is correct because the person ends up exactly 18 meters North of their starting point after the horizontal movements cancel each other out.
In direction sense questions, always treat North/East as positive and South/West as negative to solve via simple coordinate addition.
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