Shekhar starts walking south from his school and then took one right turn, one left turn and one right turn to reach his shop. In which direction is Shekhar with respect to his school?
South-west
Direction Reasoning: Shekhar's School to Shop Path Analysis
This question asks us to determine Shekhar's final direction relative to his starting point (school) after following a series of movements and turns. Let's break down Shekhar's path step by step to figure out his final position.
Step-by-Step Path Analysis
Imagine Shekhar starting at the school. We can track his movement and direction after each turn.
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Starts walking South from his school: Shekhar begins moving downwards from the school's location.
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Took one right turn: When facing South, a right turn means turning towards the West.
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Took one left turn: After the right turn, Shekhar is facing West. From West, a left turn means turning towards the South.
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Took one right turn to reach his shop: After the left turn, Shekhar is facing South again. From South, a right turn means turning towards the West.
Tracing the Overall Movement
Shekhar initially moved South from the school. After that, his turns resulted in movements that ultimately lead him further South (after the second turn) and significantly West (after the first and third turns).
Let's visualize this:
- Start: School
- Move 1: South from School
- Turn 1: Right turn (faces West)
- Move 2: Walks West
- Turn 2: Left turn (faces South)
- Move 3: Walks South
- Turn 3: Right turn (faces West)
- Move 4: Walks West to reach the shop
From the school, Shekhar moved some distance South and then some distance West (cumulatively due to the turns). His final position (the shop) is located to the South and to the West of his starting point (the school).
Determining the Final Direction
When a location is both to the South and to the West of a reference point, the direction is South-west.
Therefore, Shekhar is in the South-west direction with respect to his school.
Revision Table: Key Directions and Turns
| Facing Direction | Right Turn Results In | Left Turn Results In |
|---|---|---|
| North | East | West |
| South | West | East |
| East | South | North |
| West | North | South |
Additional Information: Understanding Relative Directions
Relative direction describes the position of one point or object in relation to another. In this problem, the school is the reference point.
The eight principal directions are North, South, East, West, North-east, North-west, South-east, and South-west. These are based on the cardinal directions (North, South, East, West).
- North-east is between North and East.
- North-west is between North and West.
- South-east is between South and East.
- South-west is between South and West.
Each turn (right or left) typically represents a 90-degree change in the facing direction, assuming standard turns unless otherwise specified.
Important Questions from Direction and Distance Turns
After leaving school, Hemant and Anurag walk towards the north for 1 km to reach a bus stop. From the bus stop, Hemant turns left and walks for 500 m. Then he turns towards his left and walks for 2 km to reach his home. From the bus stop, Anurag turns right and walks for 250 m. Then he turns right and walks for 1 km to reach his home. In which direction is Anurag's home from Hemant's home?
A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km. She again turns left and drives 40 km, then she turns to her right and drives for another 5 km. She again turns to her right and drives another 30 km to reach her bank where she works. What is the shortest distance between her bank and her house ?
A woman runs 12 km towards her North, then 6 km towards her South and then 8 km towards her East. In which direction is she from her starting point ?
Two friends Xand Ystart running and they run together for 50 m in the same direction and reach a point. Xturns right and runs 60 m, while Yturns left and runs 40 m. Then Xturns left and runs 50 m and stops, while Yturns right and runs 50 m and then stops. How far are the two friends from each other now?
Ashish cycles 11 km south, then turns west and cycles 8 km, then turns north and cycles 6 km, then turns east and cycles 2 km, then turns to his left and cycles 5 km. Where is he now with reference to his starting position?
