Ricky after travelling for 5 km. took right turn and travelled 6 km. Before…
2025
Ricky after travelling for 5 km. took right turn and travelled 6 km. Before taking left turn and then travelled for 3 km. find his final distance from home.
- A.
10 km
- B.
12 km
- C.
9 km
- D.
11 km
Attempted by 11 students.
Show answer & explanation
Correct answer: A
Solution:
Assume Ricky starts by going north for 5 km. His position is (0, 5).
He then takes a right turn (facing east) and travels 6 km, moving to (6, 5).
Next he takes a left turn (from east this is north) and goes 3 km, reaching (6, 8).
The straight-line distance from home is the length of the vector (6, 8).
Distance = sqrt(6^2 + 8^2) = sqrt(36 + 64) = sqrt(100) = 10 km