To measure the distance (DC) across a pond, a surveyor takes points A and B so that AB is parallel to DC . If AB = 60 feet, EB = 48 feel, and ED = 80 feet, find DC .
Explanation
Let x = DC . Since ∆ABE is similar to ∆CED . the lengths of their corresponding sides are in proportion. x / 60 = 80 / 48 48x = 80(60) = 4800 x = 4800 / 48= 100 ft.