Trigonometry

An elliptical arch is constructed which is 6 feet wide at the base and 9 feet tall in the middle. Find the height of the arch exactly 1 foot in from the base of the arch. looking for direction with what ellipse equation is and how to approach this problem

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  1. Place the center of the ellipse at (0,0)
    You know that the semi-major axis (height) is a=9
    the semi-minor axis (half the width) is b=3
    So that means that
    x^2/9 + y^2/81 = 1
    Now just find y when x = 2

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    oobleck

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