An amusement park Ferris Wheel has a radius of70feet. The center of the wheel is mounted on a tower72feet above the ground (see picture). For these questions, the wheel is not turning.

(a) Impose a coordinate system. (Let one unit equal one foot.)

Imposing with thex-axis along the tower and they-axis along the ground, the wheel is modeled byx²+ (y72)²= 70².

Imposing with thex-axis along the ground and they-axis along the tower, the wheel is modeled byx²+ (y70)²= 72².

Imposing with thex-axis along the tower and they-axis along the ground, the wheel is modeled byx²+ (y70)²= 72².

Imposing with thex-axis along the ground and they-axis along the tower, the wheel is modeled byx²+ (y72)²= 70².

Imposing with thex-axis along the ground and they-axis along the tower, the wheel is modeled by(x72)²+y²= 70².

b) Suppose a rider is located at the point in the picture, 100 feet above the ground. If the rider drops an ice cream cone straight down, where will it land on the ground? (Round your answer to one decimal place as needed.)

(x,y) =

(c) The ride operator is standing28feet to one side of the support tower on the level ground at the location in the picture. Determine the locations of a rider on the Ferris Wheel so that a dropped ice cream cone lands on the operator. (Note: There are two answers. Round your answers to one decimal place as needed.)

(x,y)=(smallery-value)

(x,y)=(largery-value)

An amusement park Ferris Wheel has a radius of 70 feet. The center of the wheel is mounted on a tower 72 feet above the ground (see picture). For these questions, the wheel is not turning. rider 70 feet 100 feet operator - ground 72 ft. tower level 28 feet (a) Impose a coordinate system. (Let one unit equal one foot.) Imposing with the x-axis along the tower and the y-axis along the ground, the wheel is modeled by x? + (y - 72)? = 702. Imposing with the x-axis along the ground and the y-axis along the tower, the wheel is modeled by x + (y - 70)? = 72?. Imposing with the x-axis along the tower and the y-axis along the ground, the wheel is modeled by x + (y - 70)? = 722. Imposing with the x-axis along the ground and the y-axis along the tower, the wheel is modeled by x2 + (y - 72)2 = 702. Imposing with the x-axis along the ground and the y-axis along the tower, the wheel is modeled by (x - 72)2 + y? = 702. (b) Suppose a rider is located at the point in the picture, 100 feet above the ground. If the rider drops an ice cream cone straight down, where will it land on the ground? (Round your answer to one decimal place as needed.) (x, y) = (c) The ride operator is standing 28 feet to one side of the support tower on the level ground at the location in the picture. Determine the locations of a rider on the Ferris Wheel so that a dropped ice cream cone lands on the operator. (Note: There are two answers. Round your answers to one decimal place as needed.) (x, y) = (smaller y-value) (x, y) = (larger y-value)