Mapping the Movements: Boy's Path
Let's break down the boy's movement step-by-step, starting from point P.
- Initial Move: The boy walks 3 km straight towards the East.
- First Turn: He turns left (now facing North) and walks another 3 km. At this point, he is 3 km East and 3 km North of P.
- Second Turn: He turns left again (now facing West) and walks 3 km. This westward movement cancels out his initial eastward movement.
His final position is therefore 3 km North of the starting point P, on the line directly North of P.
Mapping the Movements: Girl's Path
Now, let's follow the girl's journey from the same starting point P.
- Initial Move: The girl walks 2 km straight towards the South.
- First Turn: She turns left (now facing East) and walks 3 km. At this point, she is 3 km East and 2 km South of P.
- Second Turn: She turns left again (now facing North) and walks 2 km. This northward movement cancels out her initial southward movement.
Her final position is therefore 3 km East of the starting point P, on the line directly East of P.
Determining the Boy's Direction Relative to the Girl
We need to find the direction of the boy's final location with respect to the girl's final location.
- Boy's Final Position: Directly 3 km North of P.
- Girl's Final Position: Directly 3 km East of P.
Let's consider the girl's final position as the reference point.
- To get from the girl's position (3 km East of P) to the boy's position (3 km North of P), one needs to move West by 3 km and North by 3 km.
- A movement involving both West and North directions corresponds to the North-West direction.
Therefore, the boy is in the North-West direction of the girl.
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?
