Answer:
Height of the image is 9.06 cm
Explanation:
As we know that the person is standing 250 cm from the lens
Now we know that the focal length of the lens is
f = 15 cm
now by lens formula we have
[tex]\frac{1}{f} = \frac{1}{d_i} + \frac{1}{d_o}[/tex]
[tex]\frac{1}{15} = \frac{1}{d_i} + \frac{1}{250}[/tex]
[tex]d_i = 15.96 cm[/tex]
now we know by the formula of magnification
[tex]\frac{h_i}{h_o} = \frac{15.96}{250}[/tex]
now we have
[tex]h_o = 142 cm[/tex]
[tex]h_i = 142\times \frac{15.96}{250}[/tex]
[tex]h_i = 9.06 cm[/tex]
