Final answer:
The virtual image in a plane mirror appears to be the same distance behind the mirror as the object is in front of it, so if you are 3 meters from the mirror, the image appears 3 meters behind it, leading to a perceived distance of 6 meters. So the correct option is B.
Step-by-step explanation:
You are looking at yourself in a plane mirror, a distance of 3 meters from the mirror. Your brain interprets what you are seeing in the mirror as being a person standing 6 meters from you. The correct answer is B. 6.
The reason for this is that the distance from you to the mirror and the distance from the mirror to the virtual image of yourself add up. In a plane mirror, the image appears to be the same distance behind the mirror as the object is in front of it. Therefore, if you are 3 meters from the mirror, the virtual image will also appear to be 3 meters behind the mirror, resulting in a total perceived distance of 3 meters + 3 meters, which equals 6 meters.