A small dog sits 1.5 m in front of a plane mirror.

Where is the dog's image in relation to the mirror?

the dog's image would be -1.5m. Images in plane mirrors will have the same distance as actual objects, only negative since it's on the other side of the mirror.

To determine the location of the dog's image in relation to the plane mirror, we can use the principles of reflection.

The basic principle of reflection states that the angle of incidence (the angle between the incident ray and the normal to the mirror surface) is equal to the angle of reflection (the angle between the reflected ray and the normal to the mirror surface).

In this case, since the dog is sitting in front of a plane mirror, the incident ray (path of light) will be the line connecting the dog to its image, and the reflected ray will be the line from the image point to the mirror.

Given that the dog is sitting 1.5 meters in front of the mirror, the image formed will appear to be the same distance behind the mirror as the dog is in front of it. This is based on the concept of virtual images formed by plane mirrors, where the light rays appear to originate from behind the mirror surface.

Therefore, the dog's image will be located 1.5 meters behind the mirror, as seen from the observer's point of view.