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Sagot :
Considering the circle described, the height of the roller coaster is modeled by the following equation:
[tex]y = \sqrt{900 - x^2}[/tex]
What is the equation of a circle?
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the roller coaster is represented by a circle centered at the origin, with radius 30, hence:
[tex]x^2 + y^2 = 30^2[/tex]
[tex]x^2 + y^2 = 900[/tex]
The height is the value of y, hence, considering it is a positive value:
[tex]y^2 = 900 - x^2[/tex]
[tex]y = \sqrt{900 - x^2}[/tex]
More can be learned about the equation of a circle at https://brainly.com/question/24307696
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