Hello, pyrosilver!

So there's a ferris wheel. The bottom is say 5 feet off the ground.

It has a radius of 10 feet. It turns 1 degree every second. There is no "wheel's equation".

But we can express the height of a "car" at time Code:

* * *
* *
* *
* *
* O *
* * *
* 10 *t| *
* |
* * | *
A * - - - *B *
: * | *
: * * *
h : C|
: | 5
: |
- - - * - - - * - - - - - -
E D

The center of the wheel is at

Its radius is:

"The bottom is 5 feet off the ground":

The car is at

Since the wheel turns 1 degree per second,

. . in seconds, radius has moved degrees: .

The height of the car is:

In right triangle

Then: .

. . Therefore: .