A man stands in front of a vertical plane mirror which is fixed on a wall as shown in the diagram below. The image formed by the
mirror is also shown.
The man looks at the image of his feet.
a. Complete the ray diagram to show how the man is able to see the
image of his feet in the mirror.
b. What is the purpose of the normal line in the diagram?
c. State which angle does x represent.
d. What's the type and direction of the image formed by the mirror?

a) ray horizontal and ray leaves his feet

b) The normal line respect to which the angles are measured,

c) The angle x is the reflected angle

d) virtual image,  right image

Explanation:

a) To complete the rays, you must draw a horizontal ray at the height of the man's head, this ray touches the mirror perpendicularly, therefore it bounces in the same direction.

The other ray leaves his feet and touches the mirror at one point, it is reflected with the same angle, by the law of reflection and reaches the eyes of man, the brain creates an extension of this ray and at the point of the floor creates the image point.

b) The normal line is a line perpendicular to the surface with respect to which the angles are measured,

c) The angle x is the reflected angle, which is equal to the incident angle according to the law of reflection

d) The image is formed by the prolongation of the rays of light, therefore it is a virtual image and as it has the same direction of the man it is a right image

b.

hope this : )