Namita walks 14 meters towards west, then turns to her right and walks 14…
2023
Namita walks 14 meters towards west, then turns to her right and walks 14 meters and then turns to her left and walks 10 meters. Again turning to her left she walks 14 meters. What is the shortest distance (in meters) between her starting point and the present position?
Answer: D. 24m — Solution: Start at (0, 0). Walk 14 m west → position becomes (-14, 0). Turn right (north) and walk 14 m → position becomes (-14, 14). Turn left (west) and…
- A.
42m
- B.
34m
- C.
23m
- D.
24m
Attempted by 69 students.
Show answer & explanation
Correct answer: D
Solution:
Start at (0, 0).
Walk 14 m west → position becomes (-14, 0).
Turn right (north) and walk 14 m → position becomes (-14, 14).
Turn left (west) and walk 10 m → position becomes (-24, 14).
Turn left (south) and walk 14 m → final position (-24, 0).
Net displacement from start to final position is (-24, 0), so the shortest distance = sqrt((-24)^2 + 0^2) = 24 m.
Answer: 24 m