Objective: Generalize a formula for the ferris wheel's height in the first quadrant.

Warm up: Find the length of the side x on the right triangle shown below.

Board Work: Suppose a ferris wheel with a radius of 50 feet, and is 65 feet above the ground and completes one revolution in 40 seconds.

- Find the vertical and horizontal position for every 30 degree interval for one revolution.
- Graph the vertical and horizontal positions for one revolutions.
- Create a formula that models the platforms vertical position over time, and horizontal position over time.

**Homework:**Complete the Ferris Wheel Activity found under Tuesday's lesson.