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Trig

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The angle of elevation from a point on the ground to the top of a tower is 37deg5'. The angle of elevation from a point 120 feet farther back from the
tower is 29deg5'. Find the height of the tower (to the nearest foot).

  • Trig -

    did you make a sketch?

    I have , top of tower -- P , bottom of tower Q
    closer point A
    farther point B

    In triangle PBA
    angle B = 29°5'
    angle BAP = 142°55'
    angle BPA = 8°
    AB = 120
    by sine law:
    PA/sin 29°5' = 120/sin 8°
    PA = 419.1165

    now triangle APQ is right-angled
    use
    sin 37°5' = PQ/PA

    you finish it

  • Trig -

    I got 263.

  • Trig -

    I get 252.717 or 253

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