In a subway station, a convex mirror allows the attendant to view activity on the platform. A woman 1.64 m tall is standing 4.5 m from the mirror. The image formed of the woman is 0.500 m tall.
(a) What is the radius of curvature of the mirror?
(b) The mirror is 0.500 m in diameter. If the woman's shoes appear at the bottom of the mirror, does her head appear at the top in other words, does the image of the woman fill the mirror from top to bottom? Explain.