A pole of height is kept in front of a vertical plane mirror of length

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Geometric Optics · Geometric Optics

Problem

A pole of height

4\,\mathrm{m}

is kept in front of a vertical plane mirror of length

2\,\mathrm{m}

. The lower end of the mirror is at a height of

6\,\mathrm{m}

from the ground. The horizontal distance between the mirror and the pole is

2\,\mathrm{m}

. Between what minimum and maximum heights can a man see the image of the top of the pole when he stands

4\,\mathrm{m}

from the mirror on the same horizontal line as the pole and the point below the mirror?