The equation of the roller coaster is [tex]\frac{x^2}{60^2}+ \frac{y^2}{175^2} =1[/tex]
Ellipse
The standard form of an ellipse is given by:
[tex]\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} =1[/tex]
Where (h, k) is the center of the ellipse, 2a is the major axis and 2b is the minor axis.
The roller coaster has the shape of an ellipse. Hence:
2a = 350
a = 175
Also:
2b = 120; b = 60
The equation of the roller coaster is [tex]\frac{x^2}{60^2}+ \frac{y^2}{175^2} =1[/tex]
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