Neeraj is facing north, then he turns 45 degree right and goes 25 m, then turns in south-east direction to move 25 m and from there 25 m to east. In which direction/place is he from his original place?
- ANorth
- BEast
- CWest
- DSouth
Solution & Step-by-step Explanation
Let's trace Neeraj's path step by step starting from an origin point (0,0):
He is facing North, turns 45
∘
right (which points him towards the North-East direction) and walks 25 m.
Next, he shifts into the South-East direction and walks 25 m.
Geometrically, walking North-East by 25 m and then turning to walk South-East by 25 m forms an isosceles right-angled structure. This vector combination brings him exactly along the horizontal baseline running East relative to his starting point.
From this point, he walks another 25 m straight towards the East.
Since all individual steps maintain a net positive displacement exclusively to the right along the horizontal axis with zero net vertical movement, Neeraj ends up exactly to the East of his original position.
He is facing North, turns 45
∘
right (which points him towards the North-East direction) and walks 25 m.
Next, he shifts into the South-East direction and walks 25 m.
Geometrically, walking North-East by 25 m and then turning to walk South-East by 25 m forms an isosceles right-angled structure. This vector combination brings him exactly along the horizontal baseline running East relative to his starting point.
From this point, he walks another 25 m straight towards the East.
Since all individual steps maintain a net positive displacement exclusively to the right along the horizontal axis with zero net vertical movement, Neeraj ends up exactly to the East of his original position.