Final answer:
To determine the angle of reflection from mirror 2 when two mirrors form a 130-degree vertex and a light ray strikes mirror 1 at 48 degrees, one must use the law of reflection and the geometry of the situation to find that the light ray will leave mirror 2 at an angle of 84 degrees.
Step-by-step explanation:
The question is concerned with the behavior of light reflection from two mirrors angled at 130 degrees to each other. According to the law of reflection, the angle of incidence is equal to the angle of reflection. Therefore, the light ray striking mirror 1 at an angle of incidence of 48 degrees will reflect off at the same angle, that is, 48 degrees with respect to the normal.
However, to find the angle of reflection from mirror 2, we need to first determine the direction in which the light ray strikes mirror 2. This involves calculating the internal angle within the vertex created by two mirrors using the angle of the vertex and the reflecting angle from mirror 1. Since the mirrors form a vertex of 130 degrees, the remaining angle inside the vertex is 180-130=50 degrees. After reflecting from mirror 1, the light ray travels inside this vertex. The internal reflection angle can now be calculated as 180-2*(48)=84 degrees, as each reflection angle will have a corresponding equal angle within the vertex. Therefore, once it reaches mirror 2, the light ray strikes it with an incidence angle of 84 degrees, and since the angle of incidence equals the angle of reflection, the light would be reflected off mirror 2 at an angle of 84 degrees as well.