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Rajan@2021
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From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60 o and the angle of depression of its foot is 45° . Determine the height of the tower in metre is

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One of the most important question from trigonometry of height and distance in which we have to find the height of the tower when from the top of a 7m high building, the angle of elevation of the top of a cable tower is 6and the angle of depression of its foot is 4

Book RS Aggarwal, Class 10, chapter 14, question no 19

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2 Answers

  1. Let the height of tower PQ=hm
    the height of building AB=7m
    Angle of elevation PAR=6
    Angle of depression RAQ=4 AQB=4( alternate angle )
    Let BQ=AR=xm
    In ΔAQB AB/BQ=tan4
    7/x​=1
    x=7m
    In ΔPAR, PR/AR=tan6
    (PQQR)/x=√3
    (h7​)/x=√3
    (h7)/7=√3
    h=7(√31)
     height of tower PQ=7(√31)m

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