Algebra 2 | Unit 6 | Lesson 7: Finding Unknown Coordinates on a Circle | Practice Problems

The center of a clock is at $$(0,0)$$ in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinates of the tip of the minute hand at 12:05 p.m.

The center of a clock is at $$(0,0)$$ in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinates of the tip of the minute hand at 12:45 p.m.

The center of a clock is at $$(0,0)$$ in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinates of the tip of the minute hand at 12:55 p.m.

The center of a Ferris wheel is 100 feet off the ground and its radius is 85 feet. The point $$A$$ is at the 0 radian position.

The center of a Ferris wheel is 100 feet off the ground and its radius is 85 feet. The point $$B$$ is rotated $$\frac{7\pi}{12}$$ radians from $$A$$ .

The center of a Ferris wheel is 100 feet off the ground and its radius is 85 feet. The point $$C$$ is rotated $$\frac{5\pi}{4}$$ radians from $$A$$ .

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 30 feet off the ground?

(a)  

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 110 feet off the ground?

(a)  

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 5 feet off the ground?

(a)  

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?