When the screen is tilted, the reflected ray of light also tilts. This is because the angle of reflection is equal to the angle of incidence, and both of these angles are measured relative to the normal (perpendicular) to the surface. When the screen is tilted, the normal changes, so the angles of reflection and incidence also change.

As the screen tilts, the reflected ray will move in a plane that is perpendicular to the surface. The path of the reflected ray will form a straight line, and the angle between the reflected ray and the normal will remain the same.

The change in the angle of the reflected ray can be calculated using the following equation:

$$\theta_r - \theta_i = \theta_s$$

where:

* \(\theta_r\) is the angle of reflection,

* \(\theta_i\) is the angle of incidence, and

* \(\theta_s \) is the angle between the screen's normal and the mirror's normal.

As the screen tilts, \(\theta_s \) increases. This means that the angle of incidence decreases and the angle of reflection increases. The net effect is that the reflected ray moves up.

The tilt of the screen also causes the reflected image to move. The image will move in the opposite direction of the screen tilt. This is because the reflected ray moves in the opposite direction of the incident ray.

The amount of movement of the reflected image depends on the distance between the object and the screen, as well as the angle of the screen tilt. The closer the object is to the screen, the greater the movement of the image will be. The larger the angle of the screen tilt, the greater the movement of the image will be.

Tilting the screen can be a useful technique for manipulating the reflected light and the reflected image. For example, it can be used to:

* Direct light to a specific area

* Create a desired lighting effect

* Move an image to a different position

* Change the size of an image