Correct option is C
Concept:
Net Displacement: After calculating the movement components, the total displacement is the vector sum of the
horizontal and vertical distances between the current and original positions.
Solution:
Rajesh moves 1 km North-East (which is at a 45-degree angle) to Sunil’s house.
From Sunil's house, he moves 707 meters South to Arjun’s house.
Rajesh’s movement to Sunil's house forms a right-angled triangle, where the horizontal and vertical components
of the movement are equal since it's in the North-East direction.
The horizontal and vertical components of the 1 km (1000 m)
North-East move are 1000 × cos(45) and 1000 × sin(45), respectively.
Both components are equal to
1000×1/√2 = 70meters.
From Sunil’s house, Rajesh moves 707 meters South,
which directly affects the vertical component.
So, he is at the same latitude as his original house.
The horizontal component remains 707 meters to the East.
Since Rajesh is almost at the same latitude (vertical difference is 0.1 meters),
the total distance from his house is
approximately the horizontal displacement = Distance = 707 meters
Thus, the correct answer is Option (c).
