Multiple Choice Questions on From a height of h units a man observes the angle of elevation as alpha and angle of depression as p........... for CDS Exam Preparation

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Multiple Choice Questions

From a height of h units a man observes the angle of elevation as alpha and angle of depression as p...........

Quantitative Aptitude (CDS) Coordinate Geometry
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    From a height of h units, a man observes the angle of elevation as α and angle of depression as p of the top and the bottom respectively of a tower of height H (> 4h). To what further height should he climb so that the values of angle of elevation and angle of depression get interchanged for the top and bottom of

    the tower?

     

     H – h units

    Incorrect Answer

    H – 2h units

    Correct Answer

    H – 3h units

    Incorrect Answer

     H – 4h units

    Incorrect Answer
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    Explanation:

    In the initial figure, Tan α = (H - h)/AB, tan β = h/AB

    From 2nd figure Tan α = (h + x)/AB

    Equating both the values of tan α (H - h)/AB = (h + x)/AB

    x = H-2h

    By: Munesh Kumari
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