This problem offers students an opportunity to test their understanding of division and to consider different ways in which calculators can be used.

The interactivity also offers students a chance to explore the relationships between the angles of turn that produce the same vertical and horizontal displacements.

Follow up questions could include:

Imagine the dot starts at the point (1,0), turns through 20 000 degrees anticlockwise and then stops.

Through what angle(s) between 0 and 360 degrees would the dot have had to turn if it was to finish the same distance above/below the horizontal axis?

If I type 20 000

\div

360 into my calculator the answer on the screen is 55.555556
How can this help me answer the question?

Similarly for 40 000 degrees.
If I type 40 000 $\div$ 360 into my calculator the answer on the screen is 111.11111

Similarly for 80 000 degrees.
If I type 80 000 $\div$ 360 into my calculator the answer on the screen is 222.22222

Similarly for 250 000 degrees.
If I type 250 000 $\div$ 360 into my calculator the answer on the screen is 694.44444

And what about horizontal displacements to the left/right of the vertical axis?

Students could make up their own questions...