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March 30, 2017

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A TOWER AND A MONUMENT STAND ON A LEVEL PLANE.THE ANGLES OF DEPRESSION OF THE TOP AND BOTTOM OF THE MONUMENT VIEWED FROM THE TOP OF THE TOWER ARE 13DEGREE AND 31 DEGREE,RESPECTIVELY;THE HEIGHT OF THE TOWER IS 145 FT. FIND THE HEIGHT OF THE MONUMENT.

  • MATH TRIGO-PLSSS ANSWER CLEARLY COZ IM VERY LOW IN - ,

    Draw a diagram. Let
    T be the top of the tower
    M be the top of the monument
    A be the base of the tower
    B be the base of the monument

    ∠TBA = 31°
    so, 145/TB = sin 31°

    Since
    ∠TBM = 59°
    ∠MTB = 18°,
    ∠TMB = 103°

    The desired height (MB) is found by

    MB/sin18° = TB/sin103°

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