Answer:
-11.8 cm
Explanation:
The position of the image can be found by using the mirror equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where:
f is the focal length of the mirror
p is the distance of the object from the mirror
q is the distance of the image from the mirror
In this problem, we have:
f = -17.4 cm is the focal length of the mirror (negative for a convex mirror)
p = 36.7 cm is the distance of the object from the mirror
By solving for q, we can find the position of the image from the mirror:
[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{-17.4}-\frac{1}{36.7}=-0.0847 cm^{-1}\\q=\frac{1}{-0.0847}=-11.8 cm[/tex]
And the negative sign indicates that the image is virtual (on the opposite side of the mirror).
