Answer:
The height of the image is 18 inch.
Step-by-step explanation:
It is given that the light entering the opening reflects his image on the wall, forming similar triangles.
We know that
1 ft =12 inch
The height of person is
[tex]5\text{ ft }3\text{ in}=5\times 12+3=63\text{ in}[/tex]
The distance of person form the wall is
[tex]4\text{ ft }8\text{ in}=4\times 12+8=56\text{ in}[/tex]
The distance of image form the wall is 16 in.
Let the height of image be x.
The corresponding sides of similar triangles are proportional.
[tex]\frac{x}{16}=\frac{63}{56}[/tex]
[tex]x=\frac{63}{56}\times 16[/tex]
[tex]x=18[/tex]
Therefore the height of the image is 18 inch.
