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The angle of depression of the top and bottom of a tower as seen from the top of a 100m high cliff are 30degree and 60degree respectively. find the height of the tower

  • trig -

    I assume you made a sketch.
    On mine I let the distance between tower and cliff be x m
    then tan60° = 100/x
    x = 100/tan60°

    In my smaller right-angled triangle at the top of my diagram ,
    let the difference between height of tower and height of cliff be h
    then tan 30 = h/x
    h = xtan30
    = (100/tan60)tan30

    then height of tower = 100 - h

    I will let you do all that button-pushing,
    let me know what you got

  • trig -


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