Math

At a distance of 56 feet from the base of a flag pole, the angle of elevationi to the top of a flag that is 3.1 feet tall is 25.6 degrees. the angle of elevation to the bottom of the flag is 22.9 degrees. the pole extends 1 foot above the flag. find the height of the pole.

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  1. Going up from the bottom of the pole, let
    A be the base of the pole
    B be the bottom of the flag,
    C be the top of the flag,
    D be the top of the pole
    Let E be where the observer is standing.

    AE = 56
    BC = 3.1
    CD = 1

    AB/56 = tan 22.9°
    AB = 23.65

    So, the pole is 23.65+3.1+1 = 27.75

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  2. Christine found three pieces of cable in her tool drawer. Here are their lengths (in meters).

    What is the total length of the three pieces?

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