The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute.
write a sine model, y = asin(bt) + k, for the height (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.