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 A said to B,” A person has to walk 6 km to the south of the point T to reach my house. From point Q one has to walk 10km towards north and then turn 45 degree towards west and walk 6km to reach point T.” 
Q. What is the total distance between T and Q?
  • a)
    16 km
  • b)
    10 km
  • c)
    6 km
  • d)
    22 km
Correct answer is option 'A'. Can you explain this answer?
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Understanding the Problem
To find the total distance between points T and Q, we need to break down the information provided.
Step-by-Step Breakdown
- Distance from Point T to A's House:
A person walks 6 km south from point T to reach A's house.
- Path from Point Q to Point T:
From point Q:
1. Walk 10 km north.
2. Turn 45 degrees towards the west and walk 6 km.
Visualizing the Path
1. Starting at Point Q:
- Move 10 km North. This creates a vertical distance upwards.
2. Turning 45 Degrees West:
- After walking north, a 45-degree turn to the west means you are now moving diagonally, creating a right triangle:
- The horizontal distance (westward) and vertical distance (northward) are equal due to the 45-degree angle.
3. Calculating the Diagonal Distance:
- The distance walked westward is also 6 km. This completes the right triangle formed with the northward distance of 10 km.
Using the Pythagorean Theorem
- To find the distance from Q to T, we will use the Pythagorean theorem:
- Vertical Distance (North) = 10 km
- Horizontal Distance (West) = 6 km
- Distance (d) from Q to T = √(10² + 6²)
- This simplifies to √(100 + 36) = √136.
Final Distance Calculation
- The approximate distance (√136) is about 11.66 km.
- However, to find the total distance from T to Q:
- 6 km (from T to A's House) + 11.66 km (from Q to T) = approximately 16 km.
Conclusion
Thus, the total distance between T and Q is 16 km, confirming that option 'A' is correct.
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Direction: Study the following information carefully and answer the question.A said to B,” A person has to walk 6 km to the south of the point T to reach my house. From point Q one has to walk 10km towards north and then turn 45 degree towards west and walk 6km to reach point T.”Q.What is the total distance between T and Q?a)16 kmb)10 kmc)6 kmd)22 kmCorrect answer is option 'A'. Can you explain this answer?
Question Description
Direction: Study the following information carefully and answer the question.A said to B,” A person has to walk 6 km to the south of the point T to reach my house. From point Q one has to walk 10km towards north and then turn 45 degree towards west and walk 6km to reach point T.”Q.What is the total distance between T and Q?a)16 kmb)10 kmc)6 kmd)22 kmCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Direction: Study the following information carefully and answer the question.A said to B,” A person has to walk 6 km to the south of the point T to reach my house. From point Q one has to walk 10km towards north and then turn 45 degree towards west and walk 6km to reach point T.”Q.What is the total distance between T and Q?a)16 kmb)10 kmc)6 kmd)22 kmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Study the following information carefully and answer the question.A said to B,” A person has to walk 6 km to the south of the point T to reach my house. From point Q one has to walk 10km towards north and then turn 45 degree towards west and walk 6km to reach point T.”Q.What is the total distance between T and Q?a)16 kmb)10 kmc)6 kmd)22 kmCorrect answer is option 'A'. Can you explain this answer?.
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