A man is walking towards east. He walks 75m and turns left and again w...
Understanding the Problem
To solve the problem, we will track the man's movements step by step, marking his direction and distance from the starting point.
Step-by-Step Movements
- Initial Position: The man starts at point O (0,0).
- First Movement:
- Walks 75m east.
- New position: (75, 0).
- Second Movement:
- Turns left (now facing north) and walks 25m.
- New position: (75, 25).
- Third Movement:
- Turns left again (now facing west) and walks 35m.
- New position: (40, 25) [75 - 35 = 40].
- Fourth Movement:
- Walks 25m south (turning left again).
- New position: (40, 0) [25 - 25 = 0].
Calculating Distance from Initial Point
Now, the man is at position (40, 0). To find the distance from the initial point O (0, 0):
- Use the distance formula:
- Distance = √[(x2 - x1)² + (y2 - y1)²]
- Here, (x1, y1) = (0, 0) and (x2, y2) = (40, 0).
- Calculation:
- Distance = √[(40 - 0)² + (0 - 0)²] = √[1600] = 40m.
Final Answer
The man is 40m away from the initial point.
Thus, the correct option is (A) 40m.
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