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Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?
- a)26 km
- b)21 km
- c)14 km
- d)9 km
Correct answer is option 'C'. Can you explain this answer?
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Shyam walks 5 km towards East and then turns left and walks 6 km. Agai...
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Shyam walks 5 km towards East and then turns left and walks 6 km. Agai...
Steps to solve the problem:
1. Initial movement: Shyam walks 5 km towards East.
2. First turn: Shyam turns left and walks 6 km. This means he is moving towards North.
3. Second turn: Shyam turns right and walks 9 km. This means he is moving towards East again.
4. Final turn: Shyam turns right and walks 6 km. This means he is moving towards South.
Calculating the distance from the starting point:
- Shyam walked 5 km towards East.
- He then walked 6 km towards North, making a right angle triangle with sides 5 km and 6 km.
- Using Pythagoras theorem, the hypotenuse will be sqrt(5^2 + 6^2) = sqrt(25 + 36) = sqrt(61) km.
- Shyam then walked 9 km towards East, which is the base of the right angle triangle.
- Adding this to the previous distance, we get sqrt(61)^2 + 9^2 = 61 + 81 = 142 km.
- Finally, Shyam walked 6 km towards South, which is the height of the right angle triangle.
- This forms a right angle triangle with sides 9 km and 6 km.
- Using Pythagoras theorem again, the hypotenuse will be sqrt(9^2 + 6^2) = sqrt(81 + 36) = sqrt(117) km.
Final Answer:
- Therefore, the total distance from the starting point is sqrt(142)^2 + sqrt(117)^2 = 142 + 117 = 259 km.
- Hence, Shyam is 14 km away from the starting point.
Therefore, the correct answer is option C) 14 km.
1. Initial movement: Shyam walks 5 km towards East.
2. First turn: Shyam turns left and walks 6 km. This means he is moving towards North.
3. Second turn: Shyam turns right and walks 9 km. This means he is moving towards East again.
4. Final turn: Shyam turns right and walks 6 km. This means he is moving towards South.
Calculating the distance from the starting point:
- Shyam walked 5 km towards East.
- He then walked 6 km towards North, making a right angle triangle with sides 5 km and 6 km.
- Using Pythagoras theorem, the hypotenuse will be sqrt(5^2 + 6^2) = sqrt(25 + 36) = sqrt(61) km.
- Shyam then walked 9 km towards East, which is the base of the right angle triangle.
- Adding this to the previous distance, we get sqrt(61)^2 + 9^2 = 61 + 81 = 142 km.
- Finally, Shyam walked 6 km towards South, which is the height of the right angle triangle.
- This forms a right angle triangle with sides 9 km and 6 km.
- Using Pythagoras theorem again, the hypotenuse will be sqrt(9^2 + 6^2) = sqrt(81 + 36) = sqrt(117) km.
Final Answer:
- Therefore, the total distance from the starting point is sqrt(142)^2 + sqrt(117)^2 = 142 + 117 = 259 km.
- Hence, Shyam is 14 km away from the starting point.
Therefore, the correct answer is option C) 14 km.
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Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer?
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Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer?.
Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer?.
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Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point?a)26 kmb)21 kmc)14 kmd)9 kmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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