Alisha goes 30 meters North, then turns right and walks 40 meters, then she again turns right and walks 20 meters, then again she turns right and walks 40 meters. How many meters is Alisha finally from her original position?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 10 meters
Step-by-Step Direction Analysis:
To solve this, we can track Alisha's movements as coordinates on a grid, starting from the origin $(0, 0)$.
- Starts at (0, 0).
- Goes 30m North: She reaches $(0, 30)$.
- Turns right (East) and walks 40m: She reaches $(40, 30)$.
- Turns right (South) and walks 20m: Her new y-coordinate is $30 - 20 = 10$. She reaches $(40, 10)$.
- Turns right (West) and walks 40m: Her new x-coordinate is $40 - 40 = 0$. She reaches (0, 10).
Final Distance Calculation:
- Starting Point: $(0, 0)$
- End Point: $(0, 10)$
The distance is the difference between her starting and ending y-coordinates:
$\text{Distance} = 10 - 0 = \mathbf{10 \text{ meters}}$