another math

At a distance of 34 feet from the base of a flag pole, the angle of elevation to the top of a flag is 48.6°. The flag itself is 5.1 feet tall. The angle of elevation to the bottom of the flag is 44.6°. The pole extends 1 foot above the flag.

Find the height of the pole.

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  1. for h2, the height from the base to the top of the flag:
    h2/34 = tan 48.6°
    h2 = 34tan48.6°
    = ..

    for h1, the height to the bottom of the flag
    h1/34 = tan 44.6°
    h1 = 34tan44.6°

    h2-h1 = 5.1
    (this information is not needed
    when I calculate h2 - h1, I get 5.04 , not 5.1.
    It looks like they rounded off intermediate answers, which is a no-no)

    Actually , all we needed to find the height of the pole is
    34tan48.6° + 1

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