[tex]\begin{gathered} By\text{ solving using the equation of an Ellipse} \\ \frac{x^2}{a^2}+\text{ }\frac{y^2}{b^2}\text{ = 1} \\ a\text{ = }\frac{46}{2}\text{ = 23 x = 23 -7 =16} \\ b\text{ = 14} \\ \frac{x^2}{a^2}+\text{ }\frac{y^2}{b^2}\text{ = 1} \\ \frac{16^2}{23^2}+\frac{y^2}{14^2}\text{ = 1} \\ \frac{256}{529}+\text{ }\frac{y^2}{196}\text{ = 1} \\ \frac{y^2}{196}\text{ = 1 -}\frac{256}{529} \\ \frac{y^2}{196}\text{ = 0.516} \\ y^2\text{ = 196 x 0.516} \\ y^2\text{ = 101.56} \\ \text{y = }\sqrt[]{101.56}\text{ = 10.06feet} \end{gathered}[/tex]
