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Radha moves towards South-East a distance of 7 km, then she moves towards West and travels a distance of 14 km. From here she moves towards North-West a distance of 7 km and finally she moves a distance of 4 km towards east. How far is she now from the starting point?
  • a)
    3 km
  • b)
    4 km
  • c)
    10 km
  • d)
    11 km
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Radha moves towards South-East a distance of 7 km, then she moves towa...
Given information:
- Radha moves towards South-East a distance of 7 km,
- then she moves towards West and travels a distance of 14 km,
- From here she moves towards North-West a distance of 7 km,
- and finally she moves a distance of 4 km towards east.

To find: How far is she now from the starting point?

Solution:
Let's assume that the starting point is O and the position of Radha after each movement is shown as A, B, C, and D as follows:

O ----- A (7 km SE) ----- B (14 km W) ----- C (7 km NW) ----- D (4 km E)

We need to find the distance OD, which is the final position of Radha from the starting point.

Now, let's draw a diagram to visualize the movements of Radha:

```
N
|
W ---- O ---- E
|
S
```

From the diagram, we can see that:
- The movement towards South-East is a combination of South and East directions.
- The movement towards North-West is a combination of North and West directions.

So, we can break down the movements of Radha as follows:

- Movement 1: 7 km towards South
- Movement 2: 7 km towards East
- Movement 3: 14 km towards West
- Movement 4: 7 km towards North
- Movement 5: 4 km towards East

Now, we can calculate the final position of Radha as follows:

- The movements towards South and North cancel out each other, so the net movement in the North-South direction is 0 km.
- The movements towards East and West cancel out each other, so the net movement in the East-West direction is 7 km (i.e., 7 km towards East).
- Therefore, the final position of Radha is 7 km towards East from the starting point.

Hence, the correct answer is option (c) 10 km.
Free Test
Community Answer
Radha moves towards South-East a distance of 7 km, then she moves towa...
Option c is the correct answer reason pls search on the internet and
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Radha moves towards South-East a distance of 7 km, then she moves towards West and travels a distance of 14 km. From here she moves towards North-West a distance of 7 km and finally she moves a distance of 4 km towards east. How far is she now from the starting point?a)3 kmb)4 kmc)10 kmd)11 kmCorrect answer is option 'C'. Can you explain this answer?
Question Description
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