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Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?
- a)1 : √3
- b)1 : 3
- c)1 : 2
- d)1 : 2√3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Consider a regular hexagon ABCDEF. Two towers are situated at B and C....
Let the side of regular hexagon be ‘a’
Let height of the tower1 be h1 and tower 2 be h2
Height of tower 1 = h1 = (distance between A and B)* (tan 30o) =
Distance between A and C =
Height of tower 2 = h2 = (distance between A and C)* (tan 45o) =
Ratio of height of towers at B and C respectively
Most Upvoted Answer
Consider a regular hexagon ABCDEF. Two towers are situated at B and C....
Given:
- Angle of elevation from A to tower at B = 30°
- Angle of elevation from A to tower at C = 45°
- Regular hexagon ABCDEF
Approach:
To find the ratio of the heights of towers at B and C, we can use trigonometry to solve for the heights of the towers.
Calculations:
- Let the height of tower at B be h1 and the height of tower at C be h2
- tan(30°) = h1 / AB
- tan(45°) = h2 / AC
- Since AB = AC (hexagon is regular), we have:
- tan(30°) = h1 / AC
- tan(45°) = h2 / AC
- h1 = AC * tan(30°)
- h2 = AC * tan(45°)
- h1/h2 = (AC * tan(30°)) / (AC * tan(45°))
- h1/h2 = tan(30°) / tan(45°)
- h1/h2 = 1/√3
- Therefore, the ratio of the height of towers at B and C is 1:√3
Conclusion:
The ratio of the height of towers at B and C is 1:√3, which is option b) 1:3.
- Angle of elevation from A to tower at B = 30°
- Angle of elevation from A to tower at C = 45°
- Regular hexagon ABCDEF
Approach:
To find the ratio of the heights of towers at B and C, we can use trigonometry to solve for the heights of the towers.
Calculations:
- Let the height of tower at B be h1 and the height of tower at C be h2
- tan(30°) = h1 / AB
- tan(45°) = h2 / AC
- Since AB = AC (hexagon is regular), we have:
- tan(30°) = h1 / AC
- tan(45°) = h2 / AC
- h1 = AC * tan(30°)
- h2 = AC * tan(45°)
- h1/h2 = (AC * tan(30°)) / (AC * tan(45°))
- h1/h2 = tan(30°) / tan(45°)
- h1/h2 = 1/√3
- Therefore, the ratio of the height of towers at B and C is 1:√3
Conclusion:
The ratio of the height of towers at B and C is 1:√3, which is option b) 1:3.
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Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer?
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Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer?.
Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer?.
Solutions for Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30o, and the angle of elevation to the top of the tower at C is 45o. What is the ratio of the height of towers at B and C?a)1 : √3b)1 : 3c)1 : 2d)1 : 2√3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Defence tests.
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