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.

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