A clown 2 m tall looks at himself in a full-length mirror (floor-to-ceiling). Where in the mirror must he look to see his feet?
A) 1 m from the floor
B) 50 cm from the floor
C) 25 cm from the floor
D) at the bottom of the mirror
E) 1.5 m from the floor

Question

Quizplus · Accepted Answer

The clown must look at a point 1 m from the floor in the mirror to see his feet. This is because the angle of incidence equals the angle of reflection. The light reflecting from his feet to his eyes halfway up the mirror (1 m) makes the same angle with the normal (an imaginary line perpendicular to the mirror surface) as the light traveling from his feet to the mirror. Thus, he doesn't need to look at the bottom of the mirror to see his feet.

A Clown 2 M Tall Looks at Himself in a Full-Length