A windmill has its centre 10m above the ground and blades 2m in length. When the blades of the windmill are moving, the tip of any blade (call it point Q) makes a complete rotation in 12s. if the rotation begins at the highest possible point

- a) determine a function that gives height of point Q above the ground at a time t.
- b) what is the height of point Q after 5s? 25s?

c)at what time is Q exactly 11m above the ground?

- d) When will point Q be 13m above the ground?