ANSWER:
15.2 cm
STEP-BY-STEP EXPLANATION:
Given:
Position of object (u) = -20.7 cm
Focal length of convex mirror (f) = 57.39 cm
We use the following formula to determine the distance behind the mirror:
[tex]\begin{gathered} \frac{1}{f}=\frac{1}{v}+\frac{1}{u} \\ \\ \frac{1}{57.39}=\frac{1}{v}+\frac{1}{-20.7} \\ \\ \frac{1}{v}=\frac{1}{57.39}-\frac{1}{20.7} \\ \\ v=15.2\text{ cm} \end{gathered}[/tex]Therefore the position of the image is 15.2 cm behind the mirror.
