Giant Wheel: the Height

Part of the Graphs of Trig Functions section of Coddy's Trigonometry journey. Lesson 49 of 49.

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 $h = 75-60\cos\left(12^{\circ}\cdot t\right)$ 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 $h = 75-60\cos\left(12^{\circ}\cdot t\right)$ metres. How high are you 7 minutes after boarding? Round to two decimal places. Press Check.

Try it yourself

h = 75-60\cos\left(12^{\circ}t\right)

t = 7

Get $h$ alone

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

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