trigonometry

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A man standing 9m above the ground,observes the angle of elevation and depression of the top and bottom of Rizal monument in luneta as 6° 50' and 7° 30' respectively find the height of the monument

  • trigonometry -

    Sketch the situation.
    On my sketch, I labeled the top of the monument as A and its bottom as B, with B on ground level

    I placed the man at a point 9 m above ground at some distance away from the monument and labeled that P
    I drew a horizontal from P to meet AB at Q

    I now have two right-angled triangles.
    In triangle BPQ, BQ=9, angle BPQ = 7.5°
    tan 7.5° = 9/PQ
    PQ = 9/tan 7.5° = .....

    in triangle APQ,
    tan 6° 50' = AQ/PQ , but we know PQ

    AQ = PQ(tan 6° 50') = ......

    AB = 9 + AQ = .....

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