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Math 4 Unit 4, Lesson 1 Trigonometry: Ferris Wheel

The center of a Ferris wheel is 30 feet above the ground. The radius of the wheel is 25 feet. The wheel completes a full revolution every 20 seconds. The height of the red chair changes over time. 1. Select Original Parameters and press the play button. Write down how the ferris wheel and the graph relate.
  • The height of the center of the wheel is 30 (25 foot radius plus 5 foot elevation above the ground)
  • The radius of the wheel is 25 feet
  • The time required for the wheel to complete one revolution is 20 seconds
2. Using your knowledge of trigonometric functions from Math 3, what is the equation describing the trace of the chair over time?