This problem offers students an opportunity to apply Pythagoras'
Theorem.
It can also be used as a starting point for Trigonometry:
- what happens to the height of the dot during the
first 90 degrees of turn?
- what happens to the height of the dot when it
turns beyond 90 degrees?
- what can you say about the horizontal displacement
of the dot as it turns through a full circle?
* what happens to the height of the dot during the first 90° of turn?
* what happens to the height of the dot when it turns beyond 90°?
* what can you say about the horizontal displacement of the dot
as it turns through a full circle?