Giant Wheel: the Height
Part of the Graphs of Trig Functions section of Coddy's Trigonometry journey. Lesson 51 of 51.
A giant wheel is 120 m across and its hub stands 75 m above the ground. It turns once every 30 minutes, and you board at the bottom.
Your height after t minutes is h = 75 - 60cos(12°×t) metres.
Challenge
A giant wheel is 120 m across and its hub stands 75 m above the ground. It turns once every 30 minutes, and you board at the bottom.
Your height after t minutes is h = 75 - 60cos(12°×t) metres. How high are you 7 minutes after boarding? Round to two decimal places. Press Check.
Try it yourself
h = 75 - 60cos(12°*t)t = 7
Solve for h
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Graphs of Trig Functions
1From Circle to Wave
Ride a Ferris WheelHeight on the Unit CircleUnrolling the Sine GraphThe Sine Graph in RadiansCircle to Wave Recap7Reading a Graph
The Equation of a WaveSine or Cosine?From Peaks to a WaveAll Four at OnceReading Recap10Final Challenges
A Wave From Its FactsA Hidden ShiftA Flipped TangentRead the Whole WaveGiant Wheel: the ModelGiant Wheel: the Height