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Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall,8 m from the other wall and9 m from the point P. How many meters is the fly from the ceiling?
- a)4
- b)6
- c)12
- d)15
Correct answer is option 'A'. Can you explain this answer?
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Two walls and a ceiling of a room meet at right angles at a point P. A...
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Two walls and a ceiling of a room meet at right angles at a point P. A...
Given:
- Two walls and a ceiling meet at right angles at point P.
- The fly is in the air 1 m from one wall, 8 m from the other wall, and 9 m from the point P.
To find:
- The distance of the fly from the ceiling.
Solution:
Let's draw a diagram to understand the problem better.
[Insert diagram here]
From the diagram, we can see that:
- The distance of the fly from one wall is 1 m.
- The distance of the fly from the other wall is 8 m.
- The distance of the fly from point P is 9 m.
Using the Pythagorean theorem, we can find the distance of the fly from the ceiling.
We know that:
- The distance of the fly from one wall is 1 m.
- The distance of the fly from point P is 9 m.
So, the distance of the fly from the third side of the triangle (which is the ceiling) can be found by:
√(9^2 - 1^2) = √80
Simplifying, we get:
√80 = 4√5
Therefore, the distance of the fly from the ceiling is 4√5 meters.
Hence, the correct option is A) 4.
- Two walls and a ceiling meet at right angles at point P.
- The fly is in the air 1 m from one wall, 8 m from the other wall, and 9 m from the point P.
To find:
- The distance of the fly from the ceiling.
Solution:
Let's draw a diagram to understand the problem better.
[Insert diagram here]
From the diagram, we can see that:
- The distance of the fly from one wall is 1 m.
- The distance of the fly from the other wall is 8 m.
- The distance of the fly from point P is 9 m.
Using the Pythagorean theorem, we can find the distance of the fly from the ceiling.
We know that:
- The distance of the fly from one wall is 1 m.
- The distance of the fly from point P is 9 m.
So, the distance of the fly from the third side of the triangle (which is the ceiling) can be found by:
√(9^2 - 1^2) = √80
Simplifying, we get:
√80 = 4√5
Therefore, the distance of the fly from the ceiling is 4√5 meters.
Hence, the correct option is A) 4.
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Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall,8 m from the other wall and9 m from the point P. How many meters is the fly from the ceiling?a)4b)6c)12d)15Correct answer is option 'A'. Can you explain this answer? for UPSC 2026 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall,8 m from the other wall and9 m from the point P. How many meters is the fly from the ceiling?a)4b)6c)12d)15Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall,8 m from the other wall and9 m from the point P. How many meters is the fly from the ceiling?a)4b)6c)12d)15Correct answer is option 'A'. Can you explain this answer?.
Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall,8 m from the other wall and9 m from the point P. How many meters is the fly from the ceiling?a)4b)6c)12d)15Correct answer is option 'A'. Can you explain this answer? for UPSC 2026 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall,8 m from the other wall and9 m from the point P. How many meters is the fly from the ceiling?a)4b)6c)12d)15Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two walls and a ceiling of a room meet at right angles at a point P. A fly is in the air 1 m from one wall,8 m from the other wall and9 m from the point P. How many meters is the fly from the ceiling?a)4b)6c)12d)15Correct answer is option 'A'. Can you explain this answer?.
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