# Ferris Wheel

- Author:
- Yu Yan Xu

- Topic:
- Trigonometry

This lesson unit is intended to help you assess how well students are able to:

- Model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions.
- Interpret the constants a, b, c in the formula
in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.

- What is the radius of the Ferris Wheel?
- How high is the person when she is in the bottom car?
- When t = 4, what is the height of the passenger on the red car? How do you know?
- How long does it take for the wheel to complete one turn? How does your graph show the rate of rotation?
- Which quantities vary as the Ferris Wheel turns? Which measures do not vary?
- What does
**a**represent? - What does
**b**represent? - What does
**c**represent?