Prepare for the ATI TEAS 6 Math Test in 7 Days Similarity and Ratios Step-by-step guide: ✓ Two or more figures are similar if the corresponding angles are equal, and the corresponding sides are in proportion. Examples: 1) A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post? Write the proportion and solve for missing side. Smaller triangle height Bigger triangle height Smaller triangle base Bigger triangle base 90cm 90+360cm 90x = 160 X 450= x = 800 cm 160cm 90 cm 360 cm 2) A free 32 feet tall casts a shadow 12 feet long. Jack is 6 feet tall. How long is Jack's shadow? 160 cm x Write a proportion and solve for the missing number. 32 → 32x = 6 x 12 = 72 12 72 32x = 72 →x = = 2.25 feet 32 = X