A man moves 3 km North, then turns West and moves 2 km, again he turns North…
2016
A man moves 3 km North, then turns West and moves 2 km, again he turns North and walks 1 km, and 5 km towards East. How far is he now from his original place?
- A.
10 km
- B.
8 km
- C.
5 km
- D.
11 km
Attempted by 62 students.
Show answer & explanation
Correct answer: C
Key idea: Find the net north-south and east-west components, then use the Pythagorean theorem for the straight-line distance. Step 1: Compute net north-south displacement: 3 km north + 1 km north = 4 km north.
Step 2: Compute net east-west displacement: 5 km east − 2 km west = 3 km east.
Step 3: Use Pythagoras to find straight-line distance: sqrt((4 km)^2 + (3 km)^2) = sqrt(16 + 9) = sqrt(25) = 5 km.
Final answer: 5 km