Sahasra started running from her house towards the north. After 40 meters she turned left and ran for 75 meters. She then turned right and ran for 30 meters, and again turned right to run 75 meters. In which direction was she running finally?
East
Analyzing Sahasra's Running Path and Final Direction
This question asks us to determine the final direction Sahasra was running after a sequence of movements and turns. To solve this type of direction puzzle, we need to trace her path step-by-step, keeping track of her current direction after each turn.
Step-by-Step Path Analysis
Let's break down Sahasra's movement sequence:
- Starts towards the North: Sahasra begins running in the North direction from her house.
- Runs 40 meters North: Her direction is still North.
- Turns Left and runs 75 meters: From North, a left turn means she is now facing and running towards the West.
- Runs 75 meters West: Her direction is still West.
- Turns Right and runs 30 meters: From West, a right turn means she is now facing and running towards the North.
- Runs 30 meters North: Her direction is still North.
- Turns Right and runs 75 meters: From North, a right turn means she is now facing and running towards the East.
- Runs 75 meters East: Her direction is still East.
Determining the Final Direction
After the final turn and movement, Sahasra was running towards the East. The distance covered in each segment helps visualize the path but is not required to find the final direction. Only the sequence of turns from the starting direction matters for the final direction.
Let's summarize the turns and directions:
- Start: North
- Turn 1 (Left from North): West
- Turn 2 (Right from West): North
- Turn 3 (Right from North): East
Therefore, the direction she was running in finally is East.
| Starting Direction | Turn | New Direction |
|---|---|---|
| North | Left | West |
| West | Right | North |
| North | Right | East |
Based on this analysis, the final direction is East.
Revision Table: Key Concepts in Direction Puzzles
| Concept | Explanation |
|---|---|
| Cardinal Directions | North, South, East, West. Arranged in a circle. |
| Turns | Turning Right or Left changes your facing direction by 90 degrees clockwise or anti-clockwise, respectively. |
| Tracing Path | Mentally (or on paper) follow the person's movement, updating their current direction after each turn. |
Additional Information: Understanding Turns
Understanding how turns affect direction is crucial for solving these problems. Imagine yourself facing a direction:
- Facing North: Right turn > East; Left turn > West.
- Facing East: Right turn > South; Left turn > North.
- Facing South: Right turn > West; Left turn > East.
- Facing West: Right turn > North; Left turn > South.
Each right turn is a 90-degree clockwise rotation, and each left turn is a 90-degree anti-clockwise rotation. By applying these rules sequentially, you can determine the final direction, regardless of the distances involved (unless the question asks for final position relative to start).
Important Questions from Direction and Distance
- Vijendra walks a certain distance, say X metres, from his home towards the west. Then he turns left and walks 23 metres. After that, he turns left and walks 36 metres. Then he turns left again to walk 23 metres. He finally turns left and walks 18 metres to reach his home. Find the value of X.
Gaurav exits from the backdoor of his north-facing house and walks 25 m straight, then he takes a left turn and walks 36 m, then he turns left and walks 47 m. He turns left again and walks 36 m. How far and in which direction is he from his house now?
Reeta is standing facing south-east. First, she turns 135° clockwise. After that, she turns 90 ° anticlockwise. Then she turns 45 ° clockwise, followed by a 135 ° anticlockwise turn. In which direction is she facing now?
At the time of sunset, Lopa and Kritika are sitting facing each other. If the shadow of Lopa falls to the right of Kritika, in which direction is Kritika facing?
Srinija walked 9 km towards the west from her home, then turned towards the south and walked 11 km. Then she walked 13 km towards the east, and finally walked 4 km towards the west. How far is Srinija from her initial position?
