Answer:
20 cm
Explanation:
We can solve the problem by using the magnification equation:
[tex]M=\frac{h_i}{h_o}=-\frac{q}{p}[/tex]
where
[tex]h_i[/tex] is the size of the image
[tex]h_o = 2.0 m[/tex] is the height of the real object (the man)
[tex]q=50 mm =0.050 m[/tex] is the distance of the image from the lens
[tex]p = 5.0 m[/tex] is the distance of the object (the man) from the lens
Solving the formula for [tex]h_i[/tex], we find
[tex]h_i = -\frac{q}{p}h_o=-\frac{0.050 m}{5.0 m}(2.0 m)=-0.02 m = -20 cm[/tex]
And the negative sign means the image is inverted.