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Two poles of heights 6 m, and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m. What is the distance between their tops?
- a)13 m
- b)12 m
- c)15 m
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two poles of heights 6 m, and 11 m stand vertically on a plane ground....
CB = CD - BD = 11m - 6m = 5m
ED = AB = 12 m
ED = AB = 12 m
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Community Answer
Two poles of heights 6 m, and 11 m stand vertically on a plane ground....
Given:
Height of first pole (P1) = 6 m
Height of second pole (P2) = 11 m
Distance between their feet = 12 m
To find:
Distance between their tops
Approach:
We can use the concept of similar triangles to solve this problem.
Let's consider:
The top of the first pole as point A
The top of the second pole as point B
The feet of the first pole as point C
The feet of the second pole as point D
Now, we have a right-angled triangle ADC, where AD represents the height of the first pole (6 m) and CD represents the distance between their feet (12 m).
Similarly, we have a right-angled triangle BDC, where BD represents the height of the second pole (11 m) and CD represents the distance between their feet (12 m).
Since the triangles ADC and BDC share the same base CD, they are similar triangles. Thus, the ratio of their corresponding sides will be equal.
Using the concept of similar triangles, we can write the following proportion:
AD/CD = BD/CD
Simplifying this equation, we get:
AD = BD
Therefore, the distance between the tops of the two poles, i.e., the distance between points A and B, is equal to the height of the second pole (11 m).
Answer:
Hence, the distance between the tops of the two poles is 11 m.
Therefore, the correct answer is option A) 13 m.
Height of first pole (P1) = 6 m
Height of second pole (P2) = 11 m
Distance between their feet = 12 m
To find:
Distance between their tops
Approach:
We can use the concept of similar triangles to solve this problem.
Let's consider:
The top of the first pole as point A
The top of the second pole as point B
The feet of the first pole as point C
The feet of the second pole as point D
Now, we have a right-angled triangle ADC, where AD represents the height of the first pole (6 m) and CD represents the distance between their feet (12 m).
Similarly, we have a right-angled triangle BDC, where BD represents the height of the second pole (11 m) and CD represents the distance between their feet (12 m).
Since the triangles ADC and BDC share the same base CD, they are similar triangles. Thus, the ratio of their corresponding sides will be equal.
Using the concept of similar triangles, we can write the following proportion:
AD/CD = BD/CD
Simplifying this equation, we get:
AD = BD
Therefore, the distance between the tops of the two poles, i.e., the distance between points A and B, is equal to the height of the second pole (11 m).
Answer:
Hence, the distance between the tops of the two poles is 11 m.
Therefore, the correct answer is option A) 13 m.
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Two poles of heights 6 m, and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m. What is the distance between their tops?a)13 mb)12 mc)15 md)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two poles of heights 6 m, and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m. What is the distance between their tops?a)13 mb)12 mc)15 md)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two poles of heights 6 m, and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m. What is the distance between their tops?a)13 mb)12 mc)15 md)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Two poles of heights 6 m, and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m. What is the distance between their tops?a)13 mb)12 mc)15 md)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two poles of heights 6 m, and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m. What is the distance between their tops?a)13 mb)12 mc)15 md)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two poles of heights 6 m, and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m. What is the distance between their tops?a)13 mb)12 mc)15 md)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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