The London Eye... Modelling Ferris Wheel Rider Height Using Trig Functions [Real World Math!]
the AllAroundMathGuy the AllAroundMathGuy
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 Published On Feb 26, 2024

Looking for math in the real world? Here the London Eye is the context for some applied trigonometry. An animation shows how the motion of a Ferris Wheel produces a trig function, and how a cosine equation can be used to model the height of riders on the London Eye in relation to time since boarding. The equation is generated and then used to determine a height for a given time and time for a given height. Equations are solved both algebraically and graphically.
See the rest of my videos covering other Trig Graphs concepts:    • ★ Trig Graphs [Chapter 5] Pre-Calculu...  

My instructional approach emphasizes conceptual understanding of and connections between concepts and ideas, rather than just pure memorization.

Corresponds to chapter 5 in McGraw-Hill's Pre-Calculus 12, but also fits with the trigonometry unit from almost any other Pre-Calculus course or textbook.

A PDF copy of the 'Video Guide' document used in these videos as well as lots of other resources are available at https://drive.google.com/drive/folder...

Many thanks to Davide Giordani, Jeremy Powers, and Steve B for each sharing a clip used in this lesson video! https://www.pexels.com/

#PreCalc12bytheAAMG #SituationalMathVideos #AllAroundMathGuy

00:00 Intro to the London Eye
00:31 London Eye Dimensions
00:58 Ferris Wheel Animation to Generate a Cosine Graph
03:00 Writing a Cosine Equation for Ferris Wheel Rider Height
06:45 Finding Height Given Time Algebraically Using the Model Function
09:11 Finding Time Given Height Algebraically Using the Model Function
15:29 Solving Graphically for Height or Time
18:22 Wrap Up and End Screen

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