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Namita walks 14 metres towards west, then turns to her right and walks 14 metres and then turns to her left and walks 10 metres. Again turning to her left she walks 14 metres. What is the shortest distance (in metres) between her starting point and the present position?
  • a)
    10                                       
  • b)
    24   
  • c)
    28                                       
  • d)
    38
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Namita walks 14 metres towards west, then turns to her right and walks...
Namita walks 14 meters towards west from starting point S.
(Assume the starting point is S).
Then she turns to her right and walks 14 meters.
And then turns to her left and walks 10 meters.
Again turning to her left she walks 14 meters.

Required answer: DA + SA = 10 + 14 = 24m

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Most Upvoted Answer
Namita walks 14 metres towards west, then turns to her right and walks...
Given Information:
- Namita walks 14 meters towards the west.
- Then she turns right and walks 14 meters.
- Then she turns left and walks 10 meters.
- Again turning left, she walks 14 meters.

To find:
The shortest distance between Namita's starting point and her present position.

Explanation:
Let's analyze Namita's movements step by step:

1. Initial Movement:
- Namita walks 14 meters towards the west. This means she is 14 meters to the west of her starting point.

2. First Turn:
- Namita turns right and walks 14 meters. This means she walks towards the north for 14 meters.

3. Second Turn:
- Namita turns left and walks 10 meters. This means she walks towards the west for 10 meters.

4. Third Turn:
- Namita turns left again and walks 14 meters. This means she walks towards the south for 14 meters.

Final Position:
Now, let's determine Namita's final position.

- She initially walked 14 meters west.
- Then she walked 14 meters north.
- Then she walked 10 meters west.
- Finally, she walked 14 meters south.

We can visualize her movements as follows:

N
|
W -----|----- E
|
S

Based on the above movements, we can see that Namita is currently 14 meters south of her starting point.

Shortest Distance:
To find the shortest distance between Namita's starting point and her present position, we need to find the straight-line distance between these two points. This distance can be calculated using the Pythagorean theorem.

Using the Pythagorean theorem, we have:
Shortest distance = √[(14)^2 + (14)^2]
= √[196 + 196]
= √392
≈ 19.8 meters

Therefore, the shortest distance between Namita's starting point and her present position is approximately 19.8 meters.

Since none of the given options match this value, it seems there may be an error in the options provided.
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Community Answer
Namita walks 14 metres towards west, then turns to her right and walks...
24 m
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