The equation of an ellipse is given as;
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1^{}[/tex]
a represents half of the width of the ellipse and b represents have of the height of the ellipse.
From the question, we can see that
[tex]\begin{gathered} b=34.8 \\ a=\frac{124}{2}=62 \end{gathered}[/tex]
Therefore, we can write the equation of the ellipse as;
[tex]\frac{x^2}{62^2}+\frac{y^2}{34.8^2}^{}=1[/tex]
The horizontal distance from the center of the arc when the height is 12. 3 can be seen using the image below.
When we plot the graph of the ellipse and find the point where y = 12.3, we will have;
Answer: Therefore the horizontal distance is 58.00 feet on both sides.
