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One fine morning, Aneesh started walking towards the east. After covering a distance of 5 km, he turned towards the right and walked for 3 km. Then again, he turned to his right and covered 2 km. He again turned to his right and walked 3 km.
How far is he from his starting point?
- a)4 km
- b)3 km
- c)2 km
- d)5 km
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
One fine morning, Aneesh started walking towards the east. After cove...
Solution:
Aneesh's movements can be represented as follows:
- Starting point: A
- Walks 5 km towards the east: A → B
- Turns right and walks 3 km: B → C
- Turns right and walks 2 km: C → D
- Turns right and walks 3 km: D → E
To find out how far Aneesh is from his starting point, we need to find the distance between points A and E.
Using Pythagoras theorem, we can calculate the distance AE as follows:
AE² = AB² + BE²
We know that AB = 5 km, and BE = CD = 2 km (as Aneesh walked 2 km after turning right twice). Substituting these values in the above equation, we get:
AE² = 5² + 2² + 2²
AE² = 33
AE = √33 ≈ 5.74 km
Therefore, Aneesh is approximately 5.74 km away from his starting point. The closest option to this value is option B, which states that Aneesh is 3 km away from his starting point.
Aneesh's movements can be represented as follows:
- Starting point: A
- Walks 5 km towards the east: A → B
- Turns right and walks 3 km: B → C
- Turns right and walks 2 km: C → D
- Turns right and walks 3 km: D → E
To find out how far Aneesh is from his starting point, we need to find the distance between points A and E.
Using Pythagoras theorem, we can calculate the distance AE as follows:
AE² = AB² + BE²
We know that AB = 5 km, and BE = CD = 2 km (as Aneesh walked 2 km after turning right twice). Substituting these values in the above equation, we get:
AE² = 5² + 2² + 2²
AE² = 33
AE = √33 ≈ 5.74 km
Therefore, Aneesh is approximately 5.74 km away from his starting point. The closest option to this value is option B, which states that Aneesh is 3 km away from his starting point.
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Community Answer
One fine morning, Aneesh started walking towards the east. After cove...
According to the diagram, where A is the starting point and E is the final point.
AE = AB - DC
= 5 km - 2 km
= 3 km
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One fine morning, Aneesh started walking towards the east. After covering a distance of 5 km, he turned towards the right and walked for 3 km. Then again, he turned to his right and covered 2 km. He again turned to his right and walked 3 km.How far is he from his starting point?a)4 kmb)3 kmc)2 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer?
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