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A man standing 9 meters above the ground observes the angles of elevation and depression of the top and bottom,of the top of the monument in luneta 6 degrees and 50 minutes and 7 degrees and 30 minutes respectively.Find the height of the monument?

  • trig -

    did you make a diagram ?

    let the top of the monument be A and the bottom be B
    let the person's position be at P
    Draw a horizontal from P to AB to meet AB at C.
    then CB = 9
    angle APC = 6°' 50' or 6.8333°
    angle BPC = 7° 30' or 7.5°

    Using triangle PBC you can find PC using tan7.5°
    Once you have PC you can go into the other triangle and again using the tangent ratio find AC

    Height of monument = AC + 9

  • trig -

    13

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