The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground. Write the equation that models the height of the roller coaster.

Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)

Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)