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P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is (Given that distance of P from the building is more than the distance of q)
  • a)
    25 m
  • b)
    45 m
  • c)
    30 m
  • d)
    40 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
P and Q are two points observed from the top of a building 10√3 ...

Let OR = 10√3 m.
The angles of depression of the points are complementary and PQ = 20 m.
⇒ ∠OQR + ∠OPR = 90°
Let ∠OQR = x and ∠OPR = y
⇒ x + y = 90°
And let RQ = l m.
⇒ tan x = 10√3/l          …….. eq(1)
⇒ tan y = 10√3/(l + 20)
⇒ tan (90 – x) = 10√3/(l + 20)
⇒ cot x = 10√3/(l + 20)
We know that tan θ . cot θ = 1.
⇒ 100 × 3 = l (l + 20)
⇒ 10 (10 + 20) = l (l + 20)
⇒ l = 10 m.
∴ The distance of P from the building = 10 + 20 = 30 m.
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P and Q are two points observed from the top of a building 10√3 ...
Feet tall. The angle of depression from point P to point Q is 30 degrees. What is the horizontal distance between point P and point Q?
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P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is (Given that distance of P from the building is more than the distance of q)a)25 mb)45 mc)30 md)40 mCorrect answer is option 'C'. Can you explain this answer?
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P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is (Given that distance of P from the building is more than the distance of q)a)25 mb)45 mc)30 md)40 mCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is (Given that distance of P from the building is more than the distance of q)a)25 mb)45 mc)30 md)40 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is (Given that distance of P from the building is more than the distance of q)a)25 mb)45 mc)30 md)40 mCorrect answer is option 'C'. Can you explain this answer?.
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