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Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P?
- a)60 metres, South-East
- b)50 metres, South-West
- c)50 metres, South-East
- d)Data Inadequate
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Tanuj started walking from a point ‘P’ towards South. Afte...
Given: Tanuj started walking from a point P towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q.
To find: The straight distance between P and Q and Q is towards in which direction with reference to point P.
Solution:
Let us draw a diagram to understand the situation better.
From the diagram, we can see that:
- Tanuj starts walking from point P towards South.
- After walking 40 metres, he takes a left turn and walks 30 metres to reach point Q.
- The straight distance between P and Q is the hypotenuse of the right-angled triangle formed by P, Q and the point where Tanuj took the left turn.
- Using Pythagoras theorem, we can calculate the straight distance between P and Q as:
Straight distance between P and Q = √(40² + 30²) = √2500 = 50 metres
- To find the direction of Q with reference to point P, we need to find the angle between the line joining P and Q and the line pointing towards North.
- Let us draw a line from P pointing towards North.
- Let us draw a line joining P and Q.
- The angle between the line joining P and Q and the line pointing towards North is the angle marked in red in the diagram.
- To find this angle, we can use trigonometry. The tangent of this angle is given by:
tanθ = perpendicular/base = 30/40 = 0.75
θ = tan⁻¹(0.75) = 36.87°
- Therefore, the direction of Q with reference to point P is South-East.
Hence, the correct answer is option (c) 50 metres, South-East.
To find: The straight distance between P and Q and Q is towards in which direction with reference to point P.
Solution:
Let us draw a diagram to understand the situation better.
From the diagram, we can see that:
- Tanuj starts walking from point P towards South.
- After walking 40 metres, he takes a left turn and walks 30 metres to reach point Q.
- The straight distance between P and Q is the hypotenuse of the right-angled triangle formed by P, Q and the point where Tanuj took the left turn.
- Using Pythagoras theorem, we can calculate the straight distance between P and Q as:
Straight distance between P and Q = √(40² + 30²) = √2500 = 50 metres
- To find the direction of Q with reference to point P, we need to find the angle between the line joining P and Q and the line pointing towards North.
- Let us draw a line from P pointing towards North.
- Let us draw a line joining P and Q.
- The angle between the line joining P and Q and the line pointing towards North is the angle marked in red in the diagram.
- To find this angle, we can use trigonometry. The tangent of this angle is given by:
tanθ = perpendicular/base = 30/40 = 0.75
θ = tan⁻¹(0.75) = 36.87°
- Therefore, the direction of Q with reference to point P is South-East.
Hence, the correct answer is option (c) 50 metres, South-East.
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Tanuj started walking from a point ‘P’ towards South. Afte...
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Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct answer is option 'C'. Can you explain this answer?
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Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct 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 Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct 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 Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct answer is option 'C'. Can you explain this answer?.
Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct 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 Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct 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 Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct answer is option 'C'. Can you explain this answer?.
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Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Tanuj started walking from a point ‘P’ towards South. After walking 40 metres he took a left turn. He then walked 30 metres and reached a point Q. What is the straight distance between P and Q and Q is towards in which direction with reference to point P? a)60 metres, South-East b)50 metres, South-Westc)50 metres, South-East d)Data Inadequate Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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