# Urgent! There is a ferris wheel of radius 30 feet. When the compartments are at their lowest, it is 2 feet off the ground. The ferris wheel makes a full revolution in 20 seconds. Using a cosine function, write an equation modelling the height of time?

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Help!

Radius - 30 feet

Lowest point - 2 feet

Time for 1 revolution - 20 seconds

Write cosine function!

Help!

Radius - 30 feet

Lowest point - 2 feet

Time for 1 revolution - 20 seconds

Write cosine function!

##### 1 Answer

#### Explanation:

An equation in cosine is generally of the form

•

•

•*horizontal displacement*.

•

In this case, we can instantly deduce that the period is

The amplitude will be given by the formula

The amplitude is therefore

The vertical transformation is given by

Finally, due to the nature of the cosine function, the cosine function always starts at a maximum (except when parameter

Therefore, the equation is

Hopefully this helps!