Susan is 166 centimeters tall, and in the afternoon she casts a shadow about 55 centimeters long. Her sister, who is standing next to her, casts a shadow about 35 centimeters long. About how tall is Susan's sister (to the nearest centimeter)?
A) 146 centimeters
B) 106 centimeters
C) 95 centimeters
D) 90 centimeters
E) 12 centimeters

Question

Quizplus · Accepted Answer

Using the concept of similar triangles, the ratio of Susan's height to her shadow length is the same as her sister's height to her shadow length. Therefore, (166/55) = (x/35), solving for x gives approximately 106 centimeters.

Susan Is 166 Centimeters Tall, and in the Afternoon She