Preeti starts from point and drives towards South. From here, she takes a left turn and drives . She then takes a final left turn and drives to reach point . How far should Preeti drive to reach point from point ?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's plot Preeti's movements step-by-step using coordinate paths starting from point :
1. **From point , drives South:** Reaches position .
2. Takes a left turn (facing South, left turn means heading East): Drives to reach position .
3. Takes a final left turn (facing East, left turn means heading North): Drives to reach point . The new position is .
Point is at and point is at . The shortest straight-line distance between them is:
Therefore, she needs to drive to get back to point .
1. **From point , drives South:** Reaches position .
2. Takes a left turn (facing South, left turn means heading East): Drives to reach position .
3. Takes a final left turn (facing East, left turn means heading North): Drives to reach point . The new position is .
Point is at and point is at . The shortest straight-line distance between them is:
Therefore, she needs to drive to get back to point .