Answer
(a) $-61cm$
(b) upright
(c) $0.47m$
Work Step by Step
(a) We kn ow that
$d_i=\frac{fd_{\circ}}{d_{\circ}-f}$
We plug in the known values to obtain:
$d_i=\frac{(-84cm)(220cm)}{220cm-(-84cm)}=-61cm$
The negative sign indicates that the image is virtual and behind the mirror.
(b) As $m=-\frac{d_i}{d_{\circ}}$
$\implies m=\frac{-(-61cm)}{220cm}=0.277$
The positive value shows that the image of the person is upright.
(c) As $m=\frac{h_i}{h_{\circ}}$
$\implies h_i=mh_{\circ}$
We plug in the known values to obtain:
$h_i=(0.277)(1.7m)=0.47m$
