Mr. X starts walking towards the West. After walking 70 m, then he turns to the left and walks 35 m straight. If he now turns left again and walks 30 m, and then he turns to the left and walks a distance of 35 m. How far will he be from the starting point finally?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 40 m
Step 1: Starting point
Mr. X walks towards West first → 70 m
- Now at point A: 70 m West of start
Step 2: First turn (left)
- Facing West, left → South
- Walk 35 m → now at point B: 70 m West, 35 m South
Step 3: Second turn (left)
- Facing South, left → East
- Walk 30 m → now at point C:
- West coordinate: 70 – 30 = 40 m West
- South coordinate: 35 m
Step 4: Third turn (left)
- Facing East, left → North
- Walk 35 m → now at point D:
- West coordinate: 40 m (unchanged)
- South coordinate: 35 – 35 = 0 m (back to same latitude as start)
Step 5: Distance from starting point
- West coordinate = 40 m
- South coordinate = 0 m
$\text{Distance} = \sqrt{40^2 + 0^2} = 40 \text{ m}$