Multiple Choice Questions on From the top of a cliff 90 m high the angles of depression of the top and bottom of a tower are obse........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

From the top of a cliff 90 m high the angles of depression of the top and bottom of a tower are obse...........

Quantitative Aptitude ( CCS) Trignometry
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    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?

    30 m

    Incorrect Answer

    40 m

    Incorrect Answer

    55 m

    Incorrect Answer

    60 m

    Correct Answer
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    Explanation:
    Given, AB = 90 m
    ∠ADE = 30°
    And ∠ACB = 60°
    Then, DC = ?
    Ratio of angles,
    tan 30°/tan 60°= 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

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