Problem number

Question

Suppose a man stands in front of a mirror as shown in Figure 25.49. His eyes are 1.65 m above the floor, and the top of his head is 0.13 m higher. Find the height above the floor of the top and bottom of the smallest mirror in which he can see both the top of his head and his feet. How is this distance related to the man’s height?

<b>Figure 25.49</b> A full-length mirror is one in which you can see all of yourself. It need not be as big as you, and its size is independent of your distance from it. — **Figure 25.49** A full-length mirror is one in which you can see all of yourself. It need not be as big as you, and its size is independent of your distance from it.

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Final Answer

h_\textrm{b} = 0.825 \textrm{ m}

h_\textrm{t} = 1.72 \textrm{ m}

Solution video

OpenStax College Physics for AP® Courses, Chapter 25, Problem 1 (Problems & Exercises)

Name: OpenStax College Physics Solution, Chapter 25, Problem 1 (Problems and Exercises)
Uploaded: 2018-10-30T14:09:15-07:00
Duration: 211 s
Description: Suppose a man stands in front of a mirror as shown in Figure 25.49. His eyes are 1.65 m above the floor, and the top of his head is 0.13 m higher. Find the height above the floor of the top and bottom of the smallest mirror in which he can see both the top of his head and his feet. How is this distance related to the man’s height?