Respuesta :
Answer: 5 cm
Explanation:
From magnification of mirror formula, we have
[tex]\frac{h_i}{h_o}=\frac{v}{u}[/tex]
where, [tex]h_i[/tex] is the height of the image, [tex]h_o[/tex] is the height of the object, u is the distance of the object from mirror and v is the distance of the image from the mirror.
Given:
[tex]h_i[/tex] = 18 cm
[tex]h_o[/tex] = 10.0 cm
v = 9 cm
u = ?
[tex]\frac{18}{10}=\frac{9}{u} \\ \Rightarrow u = \frac{9}{1.8} = 5 cm[/tex]
Thus, the object is placed at 5 cm from the mirror.