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Rohan walks 8 km towards the North, turns right and walks 6 km, then turns right again and walks 8 km. How far is he from the starting point?
6 km
10 km
14 km
8 km
6 km
Visualize the path as a rectangle; since the North and South distances are equal, the displacement is simply the length of the horizontal side.
Visualize the path as a rectangle; since the North and South distances are equal, the displacement is simply the length of the horizontal side.
Mapping the path
Rohan moves 8 km North (Y=8), turns right to move 6 km East (X=6), then turns right again to move 8 km South (Y=8-8=0).
Calculating displacement
The final position is (X=6, Y=0). Since he started at (0,0), the straight-line distance is the difference in X-coordinates: 6 - 0 = 6 km.
B: 10 km is a common mistake applying Pythagoras incorrectly; C: 14 km is the sum of all sides; D: 8 km ignores the horizontal movement entirely.
A is correct because the North and South movements cancel each other out, leaving only the horizontal displacement of 6 km.
In direction problems, always check if the vertical and horizontal movements form a simple rectangle or require the full Pythagorean theorem.
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