Final answer:
On the Ferris wheel with a 50-foot radius and center 60 feet above ground, there are two points 30 feet above ground level, no points 110 feet above ground (110 feet is the maximum height), and no points 5 feet above ground as it is below the wheel's clearance.
Step-by-step explanation:
The question pertains to the height of various points on a Ferris wheel as it relates to the ground level. Since the Ferris wheel's center is 60 feet off the ground and its radius is 50 feet, we can determine the height of a point on the wheel above the ground by considering the vertical position of the point relative to the center.
- For a point 30 feet off the ground, the distance below the center of the wheel is 60 - 30 = 30 feet which is the same as the radius. Therefore, there are two points at this height, one on each side of the wheel's vertical diameter.
- For a point 110 feet off the ground, this is impossible because the highest point on the wheel (when it is at the topmost position) is 60 (center of the wheel) + 50 (radius) = 110 feet. Any point higher than this is not part of the wheel. So there are no points at 110 feet off the ground.
- For a point 5 feet off the ground, this is below the radius of the wheel and the ground clearance. Therefore, no points on the Ferris wheel can be 5 feet off the ground.
Therefore, on the Ferris wheel described, there are points 30 feet off the ground but none that are 110 or 5 feet off the ground.