Write a function describing the relationship between the height [math]h[/math] of [math]W[/math] and the angle of rotation [math]\theta[/math]. Explain your reasoning.[br]
Describe how your function and its graph would change if the windmill blade has length 3 meters.[br]
Describe how your function and its graph would change if the windmill blade has length 0.5 meter.[br]
[size=150]A windmill has radius 1 meter and its center is 8 meters off the ground. The point [math]W[/math] starts at the tip of a blade in the position farthest to the right and rotates counterclockwise. [br][br][/size]Write a function describing the relationship between the height [math]h[/math] of [math]W[/math], in meters, and the angle [math]\theta[/math] of rotation.
How does it compare to the graph where the center of windmill is at [math]\left(0,0\right)[/math]?[br]
What would the graph look like if the center of the windmill were 11 meters off the ground? Explain how you know.[br]