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5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west?
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5. A man started walking from his house and walked 4 kms. Then he turn...
Analysis:
Given Data:
- The man initially walked 4 km straight.
- Then he turned left and walked 2 km.
- After that, he turned 45° left and walked 1 km, facing east at that point.
Direction Analysis:
- From the final position, if we draw a line back to the starting point, we can form a right-angled triangle.
- The 4 km and 2 km distances form the adjacent and opposite sides of the right triangle, respectively.
- The hypotenuse of the right triangle is the total distance traveled by the man, which is 5 km.
Using Trigonometry:
- We can use trigonometric ratios to find the angle formed by the initial direction and the east direction.
- Tanθ = Opposite/Adjacent
- Tanθ = 2/4
- θ = Tan^(-1)(1/2)
- θ ≈ 26.57°
Answer:
- Since the man turned 45° left after walking 2 km, and the angle formed by the initial direction and the east direction is approximately 26.57°, the man initially started walking in the North-West direction.
Therefore, the correct answer is a) North-West.
Given Data:
- The man initially walked 4 km straight.
- Then he turned left and walked 2 km.
- After that, he turned 45° left and walked 1 km, facing east at that point.
Direction Analysis:
- From the final position, if we draw a line back to the starting point, we can form a right-angled triangle.
- The 4 km and 2 km distances form the adjacent and opposite sides of the right triangle, respectively.
- The hypotenuse of the right triangle is the total distance traveled by the man, which is 5 km.
Using Trigonometry:
- We can use trigonometric ratios to find the angle formed by the initial direction and the east direction.
- Tanθ = Opposite/Adjacent
- Tanθ = 2/4
- θ = Tan^(-1)(1/2)
- θ ≈ 26.57°
Answer:
- Since the man turned 45° left after walking 2 km, and the angle formed by the initial direction and the east direction is approximately 26.57°, the man initially started walking in the North-West direction.
Therefore, the correct answer is a) North-West.
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5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west?
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5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west?.
5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west?.
Solutions for 5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west? in English & in Hindi are available as part of our courses for UPSC.
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5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west?, a detailed solution for 5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west? has been provided alongside types of 5. A man started walking from his house and walked 4 kms. Then he turned left and walked 2 kms. ThenHe turned 45° left and walked 1 km. At this point he was facing east direction. Find out in whichDirection he started walking initially?a)north west b)south west c)north d)west? theory, EduRev gives you an
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