Section: Mathematical Reasoning

61) $Image for Question$
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.

72 ft.
84 ft.
96 ft.
100 ft.
Not enough information is given.

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.