A man having height 6 m, want to see full height in mirror. They observe image of 2 m height erect, then used mirror is

Explanation

Let us assume a person a heigh h is standing in front of a vertical plane mirror. The person could see his/her head when light from the head falls on the mirror and gets reflected to the eyes. Same way, light from the feet falls on the mirror and gets reflected to the If the distance between his head H and eys E is `h_(1)` and distance between his feet F and eye E is `h_(2)`. The person.s total height h is, h = `h_(1) + h_(2)`.

By the law of reflection, the angle of incidence and angle of reflection are the same in the two extreme reflections. The normals are now the bisector of angles between incident and reflected rays in the two reflections. By geometr. the height of the mirror needed is only half of the heigh of the person. `(h_(1) + h_(2))/(2) = (h)/(2)`