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A and B start walking from the same point. A goes North and covers 3 km ; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 km. How far apart are they from each other?
- a)10 km
- b)9 km
- c)8 km
- d)5 km
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A and B start walking from the same point. A goes North and covers 3 k...
Distance traveled by A:
- A goes North and covers 3 km
- A turns right and covers 4 km
Distance traveled by B:
- B goes west and covers 5 km
- B turns right and covers 3 km
To find the distance between A and B, we need to calculate the horizontal and vertical distances they have traveled.
Horizontal Distance:
- A goes North and turns right, which means A is moving towards the East direction.
- B goes West and turns right, which means B is moving towards the North direction.
- The horizontal distance between A and B is the sum of the distances they have traveled in the East and West directions.
- A has traveled 4 km towards the East, and B has traveled 3 km towards the West.
- Therefore, the horizontal distance between A and B is 4 km + 3 km = 7 km.
Vertical Distance:
- A goes North and covers 3 km.
- B goes West and turns right, moving towards the North direction, and covers 3 km.
- Therefore, the vertical distance between A and B is 3 km + 3 km = 6 km.
Using the Pythagorean theorem, we can calculate the distance between A and B:
- The horizontal distance is 7 km.
- The vertical distance is 6 km.
- Applying the Pythagorean theorem, the distance between A and B is sqrt((7^2) + (6^2)) = sqrt(49 + 36) = sqrt(85) ≈ 9.22 km.
Since the given options are rounded to the nearest kilometer, the correct answer is option 'B' (9 km), as it is the closest approximation to the calculated distance of 9.22 km.
- A goes North and covers 3 km
- A turns right and covers 4 km
Distance traveled by B:
- B goes west and covers 5 km
- B turns right and covers 3 km
To find the distance between A and B, we need to calculate the horizontal and vertical distances they have traveled.
Horizontal Distance:
- A goes North and turns right, which means A is moving towards the East direction.
- B goes West and turns right, which means B is moving towards the North direction.
- The horizontal distance between A and B is the sum of the distances they have traveled in the East and West directions.
- A has traveled 4 km towards the East, and B has traveled 3 km towards the West.
- Therefore, the horizontal distance between A and B is 4 km + 3 km = 7 km.
Vertical Distance:
- A goes North and covers 3 km.
- B goes West and turns right, moving towards the North direction, and covers 3 km.
- Therefore, the vertical distance between A and B is 3 km + 3 km = 6 km.
Using the Pythagorean theorem, we can calculate the distance between A and B:
- The horizontal distance is 7 km.
- The vertical distance is 6 km.
- Applying the Pythagorean theorem, the distance between A and B is sqrt((7^2) + (6^2)) = sqrt(49 + 36) = sqrt(85) ≈ 9.22 km.
Since the given options are rounded to the nearest kilometer, the correct answer is option 'B' (9 km), as it is the closest approximation to the calculated distance of 9.22 km.
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Community Answer
A and B start walking from the same point. A goes North and covers 3 k...
= (5 + 4)km
= 9km
Required distance = AB
= (5 + 4)km
= 9 km
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A and B start walking from the same point. A goes North and covers 3 km ; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 km. How far apart are they from each other?a)10 kmb)9 kmc)8 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer?
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A and B start walking from the same point. A goes North and covers 3 km ; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 km. How far apart are they from each other?a)10 kmb)9 kmc)8 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A and B start walking from the same point. A goes North and covers 3 km ; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 km. How far apart are they from each other?a)10 kmb)9 kmc)8 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B start walking from the same point. A goes North and covers 3 km ; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 km. How far apart are they from each other?a)10 kmb)9 kmc)8 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer?.
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A and B start walking from the same point. A goes North and covers 3 km ; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 km. How far apart are they from each other?a)10 kmb)9 kmc)8 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A and B start walking from the same point. A goes North and covers 3 km ; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 km. How far apart are they from each other?a)10 kmb)9 kmc)8 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A and B start walking from the same point. A goes North and covers 3 km ; then turns right and covers 4 km. B goes west and covers 5 km, then turns right and covers 3 km. How far apart are they from each other?a)10 kmb)9 kmc)8 kmd)5 kmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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