How tall is Susan's sister?

Question

Susan is 166 cm tall and she casts a shadow about 55 cm long. Her sister, who is standing next to her, casts a shadow about 35 cm long. About how tall is Susan's sister?

Answer 1

Solve this as a proportions problem.

 

Let h = her sister's height.  Then

 

166/55 = h/35

 

h = 35(166/55) cm ≅ 105.6 cm