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A flag of height 4 metres is standing on the top of a building. The angle of elevation of the top of the flag from a point X is 45° and the angle of elevation of the top of building from X is 30°. Point X is on the ground level. What is the height (in metres) of the building?
  • a)
    √3 + 2
  • b)
    2(√3 + 1)
  • c)
    4(√3 + 1)
  • d)
    (√3 + 1)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A flag of height 4 metres is standing on the top of a building. The a...
Let the height of the building AB be x metres.
Base = (4 + x) m ... (i)
Now,
Base = √3 ... (ii)
From (i) and (ii),
After rationalising, we get
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A flag of height 4 metres is standing on the top of a building. The angle of elevation of the top of the flag from a point X is 45° and the angle of elevation of the top of building from X is 30°. Point X is on the ground level. What is the height (in metres) of the building?a)√3 + 2b)2(√3 + 1)c)4(√3 + 1)d)(√3 + 1)Correct answer is option 'B'. Can you explain this answer?
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