Multiple Choice Questions on The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30 deg I........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30 deg I...........

Quantitative Aptitude ( CCS) Trignometry
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    The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30°. If the angle of elevation at the same point is to be 45°, then the pillar has to be raised to a height of how many metres?

    63.4 m

    Correct Answer

    65.4m

    Incorrect Answer

    66.6m 

    Incorrect Answer

    none of these

    Incorrect Answer
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    Explanation:
    Given, BC = 150 m
    ∠ACB = 30°
    and, ∠DCB = 45°
    Then, AD = ?
    In ΔABC, tan 30° = AB/BC
    1/√3 = AB/150
    ∴ AB = 150/√3= 86.6m
    In ΔDBC, tan 45° = DB/BC
    1 = DB/150
    DB = 150
    AD + AB = 150
    [? DB = AD + AB]
    ∴ AD = 150 – AB
    = 150 – 86.6 = 63.4m

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