The center of a Ferris wheel is 100 feet off the ground, and its radius is 85 feet. The point  is at the 0 radian position, is rotated radians from , and is rotated  radians from .

For each point , , and , find how high the position on the Ferris wheel is off the ground. Write an expression using the sine or cosine function, and estimate the value.

A Ferris wheel has a radius of 50 feet, and its center is 60 feet off the ground. How many points on the Ferris wheel are:

1. 30 feet off the ground?
2. 110 feet off the ground?
3. 5 feet off the ground?

The minute hand on a clock tower is 6 feet long. At 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground. How high above the ground is the center of the clock face? Explain how you know.

A wheel has a radius of 1 foot. The center of the wheel is point .

A circle divided by 12 congruent central angles. The radius is indicated to be 1 foot. A point on the circle, at the right side of the horizontal diameter, is labeled P.

1. Indicate where point will be after the wheel rotates counterclockwise around its center 1 foot. Label this point .
2. What is the measure of angle in radians?
3. Indicate where point will be after the wheel rotates counterclockwise around its center feet. Label this point .
4. What is the measure of angle in radians?

Angle  corresponds to a point on the unit circle in Quadrant I.

1. Which quadrant does lie in?
2. In terms of and , what are the coordinates of ?

Using a unit circle display, give an example of an angle satisfying each inequality.

1. so that and
2. so that and
3. so that  and 

Suppose angle , in radians, is in Quadrant III of the unit circle. If , what are the values of and ?