A building 50 ft high casts a 75-ft shadow. Sarah casts a 6-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?
Make each known side into a ratio like so... 75/6 (Because 75 is the shadow casted by the building, and 6 is the shadow casted by sarah) and 50/x (50 is how tall the building is and sarah's height is what needs to be found) Therefore, 75 50 ---- ----- 6 x
Do cross products; 50 x 6 = 75 x X 300 = 75x Divide by 75 x = 4ft
