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Directions: Study the following questions carefully and choose the right answer:
From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°, respectively. What is the height of the tower?
  • a)
    30 m
  • b)
    45 m
  • c)
    60 m
  • d)
    75 m
  • e)
    80 m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the following questions carefully and choose the rig...

Given, AB = 90 m
∠ADE = 30°
And ∠ACB = 60°
Then, DC = ?
Ratio of angles,
tan 30º / tan 60º = (AE / ED) / (AB / BC)
[∵ ED = BC]
(1 / √3) / √3 = AE / 90
1 / 3 = AE / 90
AE = 30 m
Now, DC = EB
= AB – AE
= 90 – 30 = 60 m
Hence, option C is correct.
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Directions: Study the following questions carefully and choose the right answer:From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°, respectively. What is the height of the tower?a)30 mb)45 mc)60 md)75 me)80 mCorrect answer is option 'C'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about Directions: Study the following questions carefully and choose the right answer:From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°, respectively. What is the height of the tower?a)30 mb)45 mc)60 md)75 me)80 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following questions carefully and choose the right answer:From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°, respectively. What is the height of the tower?a)30 mb)45 mc)60 md)75 me)80 mCorrect answer is option 'C'. Can you explain this answer?.
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