From her house, Avantika went 15 km to the North, then, she turned West and covered 10 km. Then, she turned South and covered 5 km. Finally, turning to East, she covered 10 km. In which direction is she from her house?

a)
East

b)
West

c)
North

d)
South

Correct answer is option 'C'. Can you explain this answer?

Question

From her house, Avantika went 15 km to the North, then, she turned West and covered 10 km. Then, she turned South and covered 5 km. Finally, turning to East, she covered 10 km. In which direction is she from her house?

a)
East
b)
West
c)
North
d)
South

Correct answer is option 'C'. Can you explain this answer?

Answer

i) Avantika went 15 km to the North.

ii) Then she turned west and covered 10 km.

iii) Then, she turned south and covered 5 km.

iv) Finally turning to east, she covered 10 km

Drawing the Diagram as per the given information:

Therefore, it is clear that She is in the North from his house.

Answer

Answer

Given Information:
- Avantika went 15 km to the North from her house.
- She then turned West and covered 10 km.
- She turned South and covered 5 km.
- Finally, she turned East and covered 10 km.

To determine Avantika's current direction, we need to analyze her movements:

1. Northward Movement:
- Avantika went 15 km to the North from her house.
- This means she is now 15 km North of her house.

2. Westward Movement:
- After moving North, Avantika turned West and covered 10 km.
- Since she is already 15 km North of her house, the Westward movement does not change her Northward position.
- Therefore, she is still 15 km North of her house and 10 km West.

3. Southward Movement:
- After moving West, Avantika turned South and covered 5 km.
- As mentioned earlier, her Westward movement did not change her Northward position.
- Therefore, she is still 15 km North of her house and 10 km West, and now 5 km South.

4. Eastward Movement:
- Finally, Avantika turned East and covered 10 km.
- Since her Southward movement did not change her Northward position, she is still 15 km North of her house.
- Similarly, her Eastward movement does not change her Westward position of 10 km.
- Therefore, she is still 15 km North of her house, 10 km West, and now 10 km East.

Conclusion:
- Based on the given information, Avantika is currently 15 km North of her house, 10 km West, and 10 km East.
- Since her Northward distance is greater than her Southward distance, she is closer to the North direction.
- Therefore, Avantika is currently in the North direction from her house.

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