Movement Analysis
To find Suresh's final position relative to his starting point, we analyze his movements along the North-South and East-West axes.
- North-South Travel: Suresh walks 10 km North (+10 km) and then 10 km South (-10 km). The net displacement in the North-South direction is $10 \text{ km} - 10 \text{ km} = 0 \text{ km}$.
- East-West Travel: Suresh walks 6 km East (+6 km) and then 2 km West (-2 km). The net displacement in the East-West direction is $6 \text{ km} - 2 \text{ km} = 4 \text{ km}$ East.
Final Displacement Calculation
Combining the net displacements:
- Net North-South displacement = $0$ km.
- Net East-West displacement = $4$ km East.
Suresh's final position is effectively 4 km East of his starting point. This net displacement represents the shortest distance and the direction from the start.
Result
The shortest distance from the starting point is 4 km, and the direction is East.
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?
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?
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?
