The image position is 13.9 cm from the mirror
Explanation:
To solve this problem, we can use the mirror equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f is the focal length
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 = 3.4 cm is the focal length of the mirror (positive for a concave mirror)
p = 4.5 cm is the position of the object (the tree)
Solving the equation for q, we find the position of the image:
[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{3.4}-\frac{1}{4.5}=0.0719 cm^{-1}\\q=\frac{1}{0.0719}=13.9 cm[/tex]
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