Question Detail
Question
For a woman 1.60 m tall, with her eyes 10 cm below the top of her head, what is the minimum height a vertical plane mirror must be for her to see her whole body, and how high off the floor must its lower edge be?
Correct Answer
Option A is the correct answer.
Detailed Explanation
Page 16 (Solution for Example 32-2) states: "Geometry then shows that the mirror must be 80 cm high, with its bottom 75 cm off the floor." To see her feet, the bottom of the mirror needs to be halfway between her eyes and her feet. To see the top of her head, the top of the mirror needs to be halfway between her eyes and the top of her head.
Hint
The mirror needs to be half the height of the person, and its bottom edge positioned based on the eye level.