2d - Follow cursor by having object rotate around z-axis

Questions & Answers
1

Using the overhead view how can I move the mouse cursor around the screen while having the object rotate around the z-axis so the object faces the mouse cursor.

I thought something like the code below would work but apparently not.
transform.LookAt (new Vector3 (Input.mousePosition.x, Input.mousePosition.y, 0));

I know very little so if you could explain your code that would be very helpful. Thanks!

2

In 2D, Mathf.Atan2 is what you need.

To use, if you have two points, (x1, y1) and (x2, y2), the angle from the first point to the second point is Mathf.Atan2(y2-y1, x2-x1). Your first point would be the position of your object, and the second point would be the position of the mouse. Set transform.LocalEulerAngle to (0, 0, /*Atan2 and convert to degrees*/) and you should get what you want.