The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches
The dimension of the mirror is given as:
[tex]Height = 24\ in[/tex]
[tex]Width = 28\ in[/tex]
From the center of the mirror to the floor of the wall, the distance is:
[tex]Distance =5\frac14\ ft[/tex]
So, the distance to the top of the mirror will be:
[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]
Substitute 24 for height
[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]
[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]
Convert feet to inches
[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]
[tex]Top = 63\ in+ 12 \ in[/tex]
[tex]Top = 75 \ in[/tex]
The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.
So, we have:
[tex]Distance = 8\ ft - 75\ in[/tex]
Convert feet to inches
[tex]Distance = 8\times 12\ in - 75\ in[/tex]
[tex]Distance = 96\ in - 75\ in[/tex]
[tex]Distance = 21\ in[/tex]
Hence, the distance is 21 inches
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