Final answer:
The minimum distance between the bottom of the frame and the top of a chair rail, mantel, or headboard is 0.955 m.
Step-by-step explanation:
The minimum distance between the bottom of the frame and the top of a chair rail, mantel, or headboard can be determined by considering the height of the person and the mirror. Let's assume the height of the person is h. According to the given information, the top of the mirror is 1.715 m from the floor, the bottom of the mirror is 0.825 m from the floor, and the height of the mirror is 0.890 m. Since the height of the mirror is half the height of the person, we can write the following equation:
0.890 = (1/2)h
Solving the equation, we find:
h = 0.890 * 2 = 1.780 m
Therefore, the minimum distance between the bottom of the frame and the top of a chair rail, mantel, or headboard is 1.780 m - 0.825 m = 0.955 m.