Sachin walks 20 km towards North. He turns left and walks 40 km. He ag...
Sachin's Journey Steps:
1. Sachin walks 20 km towards North
2. Sachin turns left and walks 40 km
3. Sachin turns left again and walks 20 km
4. Sachin moves 20 km after turning left
Calculating Sachin's Final Position:
To determine Sachin's final position, we need to analyze his movements.
1. Initial Movement:
- Sachin walks 20 km towards North.
2. First Left Turn:
- After walking 20 km towards North, Sachin turns left and walks 40 km.
- This means Sachin would have moved towards the West for 40 km.
3. Second Left Turn:
- After walking 40 km towards the West, Sachin turns left again and walks 20 km.
- This means Sachin would have moved towards the South for 20 km.
4. Third Movement:
- After walking 20 km towards the South, Sachin moves 20 km after turning left.
- This means Sachin would have moved towards the East for 20 km.
Calculating the Distance from the Starting Position:
Now, let's calculate the distance between Sachin's final position and his starting position.
- Sachin initially moved 20 km towards the North.
- Then, he moved 40 km towards the West.
- After that, he moved 20 km towards the South.
- Finally, he moved 20 km towards the East.
If we consider the directions Sachin moved, we can see that he created a rectangle with sides of 20 km and 40 km. By using the Pythagorean theorem, we can calculate the diagonal distance.
Using Pythagorean theorem:
Diagonal distance^2 = (20 km)^2 + (40 km)^2
Diagonal distance^2 = 400 km^2 + 1600 km^2
Diagonal distance^2 = 2000 km^2
Now, let's calculate the diagonal distance:
Diagonal distance = √2000 km^2
Diagonal distance ≈ 44.72 km
Therefore, Sachin's final position is approximately 44.72 km away from his starting position.
Since none of the provided answer options match the calculated distance, it seems that there might be an error in the question or answer choices.