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A man walks 3 km West, then turns South and walks 7 km, then turns East and walks 3 km, then turns to his right and walks 5 km. Where is he now with reference to his starting position?
  • a)
    12 km North
  • b)
    2 km South
  • c)
    12 km South
  • d)
    2 km North
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A man walks 3 km West, then turns South and walks 7 km, then turns Eas...

 
Man is 12 km in south with reference to starting point.
Hence, 12 km South is the correct answer.
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Most Upvoted Answer
A man walks 3 km West, then turns South and walks 7 km, then turns Eas...
Given information:

- The man walks 3 km West
- He then turns South and walks 7 km
- He then turns East and walks 3 km
- He then turns to his right and walks 5 km

To find: Where is he now with reference to his starting position?

Solution:

Let's draw a diagram to represent the man's movements.

```
| 3 km |
|<-----------| starting="">
| |
| 7 km |
| |
| |
| |
| |
| |
| 3 km |
| |
|-----> |
| 5 km |
| |
```

Starting from the initial point, the man first walks 3 km to the West. We can represent this movement as a line segment pointing to the left.

Then, he turns South and walks 7 km. We can represent this movement as a line segment pointing downwards, from the end of the previous line segment.

Next, he turns East and walks 3 km. We can represent this movement as a line segment pointing to the right, from the end of the previous line segment.

Finally, he turns to his right and walks 5 km. We can represent this movement as a line segment pointing upwards, from the end of the previous line segment.

To find the man's current position with reference to the starting point, we need to find the horizontal and vertical distances between his current position and the starting point.

The horizontal distance is the sum of the distances he walked to the West and to the East, which is 3 km - 3 km = 0 km. This means that he hasn't moved horizontally from his starting point.

The vertical distance is the difference between the distances he walked to the South and to the North, which is 7 km - 5 km = 2 km. This means that he is 2 km South of his starting point.

Therefore, the answer is option C: 12 km South.
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A man walks 3 km West, then turns South and walks 7 km, then turns East and walks 3 km, then turns to his right and walks 5 km. Where is he now with reference to his starting position?a)12 km Northb)2 km Southc)12 km Southd)2 km NorthCorrect answer is option 'C'. Can you explain this answer?
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