Question

A ferris wheel is drawn on a coordinate plane so that the first car is located at the point ​(0​,80​). What are the coordinates of the first car after a rotation of 270degrees counterclockwise about the​ origin?

Answer 1

As the wheel makes this 270 degree counterclockwise rotation about the origin, the y-coordinate of the first car decreases from 80 to 0 and then further from 0 to -80, and finally increases to 0.

The x-coordinate decreases from 0 to -80 and then increases to 0; from there it increases further to 80.

Thus, the coordinates of the first car, after this 270-degree rotation, are (80, 0).