Smitha's Movement Analysis
This problem requires us to track Smitha's movements step-by-step to determine the final direction of her office relative to her starting point (house).
Detailed Movement Breakdown
- Initial Movement: Smitha starts at her house and runs 10 km South. Her position is now 10 km South of her house.
- First Turn and Walk: She turns left (from South, left is East) and walks 23 km East. Her position is now 10 km South and 23 km East of her house.
- Second Turn and Walk: She turns left again (from East, left is North) and walks 40 km North.
- Her net North-South displacement is now: 40 km (North) - 10 km (South) = 30 km North.
- Her East-West displacement remains 23 km East.
- Her current position is 30 km North and 23 km East of her house.
- Third Turn and Walk: She turns right (from North, right is East) and walks 5 km East.
- Her North-South displacement remains 30 km North.
- Her net East-West displacement is now: 23 km (East) + 5 km (East) = 28 km East.
Final Position Calculation
After all the movements, Smitha's office is located relative to her house at a position that is:
- 30 km North
- 28 km East
A location that is both North and East is considered to be in the North East direction.
Conclusion on Direction
Therefore, the office is located in the North East direction from Smitha's house.
Important Questions from Direction and Distance (Notes)
- If a map is placed in such a manner that east becomes southeast, then what will northeast become?
Point A is $30$ m to the North of point B. Point A is $10$ m to the west of point C. Point C is $20$m to the North of point D. Point E is $20$ m to the East of point D. Point F is $20$ m to the South of point E. What is the shortest distance from the point B to point E.
Rakesh left home and walked $5$km southwards, then turned right and walked $2$km and again turned right and walked $5$ km and finally again turned left and walked $5$ km. The shortest distance between the final position and home is.
- The door of Aman's house faces east. From the back side of his house, Aman walks straight 30m. Again he walks 20m after turning to his left, then he turns to his right and walks 30m. Finally he turn towards north and walks 20m and stops. So, what is the distance between the starting and the end point?
I starts from Point A and drives 5 km towards the north. He then takes a right turn, drives 2 km, turns right and drives 9 km. He then takes a right turn and drives 7 km. He takes a final right turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are $90^\circ$ turns only unless specified.)
