Answer:
2.14 m
Explanation:
The mirror creates a virtual light source 0.66 m under it that is the reflection of the real one. This will project a cone of light on the ceiling. The cone of light will be delimited by the edges of the mirror.
When the cone has been projected 0.66 m (touching the mirror) it will have a diameter of 0.42 m. So when it gets projected on the wall, that is 2.7 + 0.66 = 3.36 m away, it will have a diameter of:
[tex]\frac{0.42}{0.66} = \frac{x}{3.36}[/tex]
[tex]x = \frac{0.42*3.36}{0.66} = 2.14 m[/tex]
