Anonymous
Anonymous asked in Education & ReferenceHomework Help · 5 months ago

The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. (see picture please for the rest of the question)?

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  • 5 months ago
    Favorite Answer

    Equation of an ellipse centered at the origin:

    x²/a² + y²/b² = 1 where a>b

    In this example a = 20 ft and b = 11 ft

    Since the truck is 8 ft wide, assuming it passes perfectly centered,

    will it strike the bridge 4 ft from center?

    In other words, what is y when x = 4?

    x²/20² + y²/11² = 1

    4²/400 + y²/121 = 1

    y = √(121(1 - 16/400)) = 10.7 ft

    Since this is greater thatn the height of either truck,

    it is enough room for both trucks to pass under the bridge........ANSWER B

  • KennyB
    Lv 7
    5 months ago

    The picture is missing - repost.

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