Starting from point P, Sachin walked 20 m towards South. He turned left and walked 30 m. He then turned left and walked another 20 m.


To find the position of point Q, we need to analyze Sachin's movements step by step.


Starting from point P, Sachin walks 20 m towards the South. This means he moved downward from point P.


After walking 20 m towards the South, Sachin turns left and walks 30 m. Since he turned left, his new direction is towards the East (perpendicular to South). Therefore, he moves 30 m in the East direction.


After moving 30 m towards the East, Sachin turns left again and walks 20 m. Since he turned left, his new direction is towards the North (perpendicular to East). Therefore, he moves 20 m in the North direction.


After completing the above steps, Sachin's final position is 20 m north and 30 m east from point P. We need to find the straight-line distance and direction from point P to point Q.


Using the Pythagorean theorem, we can calculate the straight-line distance between the two points:

Distance = √((North Distance)^2 + (East Distance)^2)

Distance = √((20)^2 + (30)^2)
= √(400 + 900)
= √1300
≈ 36.06 m

Therefore, the distance between point P and point Q is approximately 36.06 m.


To determine the direction, we can use the concept of compass directions. Since point Q is 20 m to the North and 30 m to the East of point P, the direction can be described as North-East.

However, the answer choices are given in terms of cardinal directions (North, South, East, West). To convert the direction to cardinal terms, we can use the following rules:

- If the direction is between North and East, it is North-East.
- If the direction is between North and West, it is North-West.
- If the direction is between South and East, it is South-East.
- If the direction is between South and West, it is South-West.

In this case, the direction is between North and East, so the cardinal direction is East.


The point Q is approximately 36.06 m away from point P in the East direction. Therefore, the correct answer is option 'A': 30 m, West.

Starting from point P, Sachin walks 20 m towards South. He then turns left and walks 30 m. He turns left again and walks another 20 m.


To determine the position of point Q, we need to consider the directions and distances Sachin has walked.

1. Starting Point: P
2. Southward Walk: Sachin walks 20 m towards the South from point P.
3. First Left Turn: Sachin turns left and walks 30 m.
4. Second Left Turn: Sachin turns left again and walks 20 m.


1. Initial Direction: Sachin starts by walking towards the South.
2. First Left Turn: After the first left turn, Sachin will be facing East.
3. Second Left Turn: After the second left turn, Sachin will be facing North.

Thus, the final direction from point P to point Q is North.


1. Southward Walk: Sachin walks 20 m towards the South.
2. First Left Turn: Sachin walks 30 m.
3. Second Left Turn: Sachin walks another 20 m.

To calculate the total distance, we need to add up the distances Sachin has walked.

Total Distance = Southward Walk + First Left Turn + Second Left Turn
Total Distance = 20 m + 30 m + 20 m
Total Distance = 70 m

Therefore, the distance between point P and point Q is 70 m.


The point Q is 70 m away from point P in the North direction. Thus, the correct answer is option A) 70 m, North.