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Dimensions of an arch?! Trig Help?

Dimensions of an arch. An arch of a bridge is semi-elliptical, with major axis horizontal. The base of the arch is 40 feet across, and the highest part of the arch is 10 feet above the horizontal roadway. Find the height of the arch 2 feet from the center of the base.

1 Answer

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  • phasor
    Lv 4
    1 decade ago
    Favorite Answer

    x²/a² + y²/b² = 1

    x²/20² + y²/10² = 1

    when x=2

    y²=10²(1-2²/20²)

    y=3√11

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