The picture shows a person taking a pinhole photograph of himself. Light entering the opening reflects his image on the wall, forming similar triangles. What is the height of the image to the nearest inch?

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 that1 ft =12 inchThe 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.