A person’s head measures exactly 300 mm high by 200 mm wide. He stands 2 m from
a mirror at eye level.
a. Giving proof, what is the smallest size of mirror that would allow the entire head
to be visible with one eye closed?
b. If the distance to the mirror was changed to 0.4 m, would he see more, the
same or less of his face?
c. Prove that to see the whole body of a 1.8 m tall person, you need only an
appropriately positioned mirror of height 0.9 m.