Multiple Choice Questions on The length of the shadow of a vertical tower on level ground increases by 10 metres when the altitud........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The length of the shadow of a vertical tower on level ground increases by 10 metres when the altitud...........

Quantitative Aptitude ( CCS) Trignometry
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    The length of the shadow of a vertical tower on level ground increases by 10 metres when the altitude of the sun changes from 45° to 30°. Then the height of the tower is

    5V3 times

    Incorrect Answer

    10(√3 + 1)m times

    Incorrect Answer

    5(√3+1) times

    Correct Answer

    10√3 times

    Incorrect Answer
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    Explanation:

    Let, the height of the pillar, AB = h metre.
    When the sun's angle of elevation was 45°, then the length of shadow of the pillar is BD = x (let).
    And, when the sun's angle of elevation is 30°, then the length of shadow of the pillar is BC.
    When the sun changes from 45° to 30°, then the length of shadow of the pillar increases CD = 10 (given)
    ∴  BC = CD + BD = (10 + x) m
    In ΔABD,

    By: Amit Kumar
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