Akshi starts from her house and goes towards East. After walking 5 km ...
4 km towards north
Akshi starts from her house and goes towards East. After walking 5 km ...
Given information:
- Akshi starts from her house and goes towards East.
- After walking 5 km in the same direction, she meets her friend Ashfaq who was coming from the opposite direction.
- Both of them turn towards the left of Ashfaq and walk together for 4 km to reach his house.
- From Ashfaq's house, Akshi walks 5 km towards the West.
To find:
- How much distance Akshi should walk to reach her house.
Let's analyze the given information step by step:
1. Akshi starts from her house and goes towards East.
- This means Akshi is initially moving towards the East direction.
2. After walking 5 km in the same direction, she meets her friend Ashfaq who was coming from the opposite direction.
- After covering a distance of 5 km towards the East, Akshi meets Ashfaq who is coming from the opposite (West) direction.
- This indicates that Ashfaq's house is 5 km away from the meeting point towards the West.
3. Both of them turn towards the left of Ashfaq and walk together for 4 km to reach his house.
- Since they turn towards the left of Ashfaq, they are now moving towards the South direction.
- They walk together for 4 km, which means they cover a distance of 4 km towards the South.
4. From Ashfaq's house, Akshi walks 5 km towards the West.
- After reaching Ashfaq's house, Akshi walks 5 km towards the West direction.
Now, to find how much distance Akshi should walk to reach her house:
- We need to calculate the remaining distance from Ashfaq's house to Akshi's house.
Calculations:
- From the given information, we know that Ashfaq's house is 5 km towards the West from the meeting point.
- They walk together for 4 km towards the South from the meeting point.
- So, the remaining distance from Ashfaq's house to Akshi's house is the diagonal distance between these two points.
Using the Pythagorean theorem, we can calculate this distance:
- Let's assume the remaining distance is x km.
- According to the Pythagorean theorem, (4 km)^2 + (x km)^2 = (5 km)^2.
- Simplifying the equation, we get 16 + x^2 = 25.
- Solving for x, we get x^2 = 9.
- Taking the square root of both sides, we get x = 3.
Therefore, the remaining distance from Ashfaq's house to Akshi's house is 3 km.
Since Akshi initially walked 5 km towards the East, then 4 km towards the South with Ashfaq, and finally 5 km towards the West, the net displacement is towards the North direction.
Hence, Akshi should walk 4 km towards the North direction to reach her house.
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