Imagine a bug sitting on the end of a fan blade as the blade
     Imagine a bug sitting on the end of a fan blade as the blade revolves in a counter-clockwise direction. The bug is exactly 12 niches from the center of the fan and is at the 3 o\'clock position as the blade begins to turn.  As the bug rotates from the 3 o\'clock position to the 12 o\'clock position, his vertical distance above the horizontal diameter changes from  radius lengths. radius lengths to  As the bug rotates from the 12 o\'clock position to the 9 o\'clock position, his vertical distance above the horizontal diameter changes from  radius lengths  radius lengths to  As the bug rotates from the 9 o\'clock position to the 6 o\'clock position, his vertical distance above the horizontal diameter changes from radius  lengths.  radius lengths to  As the bug rotates from the 6 o\'clock position to the 3 o\'clock position, his vertical distance above the horizontal diameter changes from  radius lengths. tob  radius lengths 
  
  Solution
a. from 0 radius lengths to 1 radius lengths.
b. from 1 radius lengths to 0 radius lengths.
c. from 0 radius lengths to -1 radius lengths.
d. from -1radius lengths to 0 radius lengths

