Answer:
image length is 6.89 inches
Step-by-step explanation:
Data provide:
SOD = 54 inches
OID = 8 inches
Object length = 6 inches
Now,
magnification = [tex]\frac{\textup{Image length}}{\textup{Object length}}=-\frac{\textup{SID}}{\textup{SOD}}[/tex]
also,
SID = SOD + OID
or
SID = 54 + 8 = 62 inches
Therefore,
[tex]\frac{\textup{Image length}}{\textup{6}}=-\frac{\textup{62}}{\textup{54}}[/tex]
or
Image length = - 1.148 × 6
or
Image length = - 6.89 inches
Here negative sign depicts the inverted image
Hence,
The Magnitude of the image length is 6.89 inches