Starting from his house Arun moves 5 km to the north east and then 4 km…
2025
Starting from his house Arun moves 5 km to the north east and then 4 km towards south. He now moves 3 km towards east and then moves 8 km towards north to reach his friend’s house. Then his friend’s house is,
- A.
10 km north-east of Arun’s house
- B.
10 km south-east of Arun’s house
- C.
3 km north-east of Arun’s house
- D.
7 km north-west of Arun’s house
Show answer & explanation
Correct answer: A
Resolve 5 km North-East: ~3.54 km East, ~3.54 km North.
Apply movements: South 4 km (Net N ≈ -0.46), East 3 km (Total E ≈ 6.54), North 8 km (Net N ≈ 7.54).
Calculate magnitude: √(6.54² + 7.54²) ≈ 10 km.
Direction corresponds to North-East.