Kunal walks 10 kilometers towards North. From there, he walks 6 kilometers…
2025
Kunal walks 10 kilometers towards North. From there, he walks 6 kilometers towards South. Then, he walks 3 kilometers towards East. How far and in which direction is he with reference to his starting point?
- A.
5 Km East
- B.
5 Km North-East
- C.
5 Km West
- D.
5 Km North
Attempted by 29 students.
Show answer & explanation
Correct answer: B
Key idea: break the movement into north-south and east-west components.
North-south component: 10 km north − 6 km south = 4 km north.
East-west component: 3 km east.
Distance from start = sqrt((4 km)^2 + (3 km)^2) = sqrt(16 + 9) = sqrt(25) = 5 km.
Direction: both components are positive (north and east), so the direction is northeast. The angle east of north = arctan(3/4) ≈ 36.9°.
Final answer: 5 km toward the north-east (approximately 36.9° east of north).