Kendra F. answered • 07/31/17

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Standard equation for an elipse:

x

^{2}/a^{2}+ y^{2}/b^{2}= 1If a>b then the major axis is horizontal. The "a" is the x-distance from center to side, the "b" is the y-distance from center to top. Kind of like a radius for a circle but they are not equal in an elipse.

The given equation for the elipse:

x

^{2}/100 + y^{2}/64 = 1**x**

^{2}/10^{2}+ y^{2}/8^{2}= 1The width (horizontal, x-distance) of the tunnel needs to be twice as wide. 10*2 = 20

The height (vertical, y-distance) of the tunnel needs to be 1.5 times taller. 8*1.5 = 12

Replace the a/b values

x

^{2}/20^{2}+ y^{2}/12^{2}= 1**x**

^{2}/400 + y^{2}/144 = 1