Question

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete two rotations every minute.

Write a sine model, y = asin(bt) + k, for the hight (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate.

Options are displayed in the picture

Answer 1

D: y= 10sin(
`(\pi )/(15)t`) + 30

Explanation:

30 feet above the ground is the k value.

10 feet long is how long the blades reach up and down which is also known as the amplitude.

The rest is given in all answers.