Question

an object of height 1.52 cm is placed 13.0 cm from a concave mirror. the image is 5.07 cm from the mirror. how tall is the image? ? cm

Explanation:

Step1: Recall magnification formula

$m = -\frac{d_i}{d_o} = \frac{h_i}{h_o}$

Step2: Rearrange for image height

$h_i = -\frac{d_i}{d_o} \times h_o$

Step3: Substitute given values

$h_i = -\frac{5.07\ \text{cm}}{13.0\ \text{cm}} \times 1.52\ \text{cm}$

Step4: Calculate the result

$h_i = -0.609\ \text{cm}$
The negative sign indicates the image is inverted; the height magnitude is 0.609 cm.

Answer:

0.609 cm