Question

A surveyor is conducting measures to see how wide a river is between points A and B.using her surveying instrument,she creates two similar right triangles.ABC~EDC,CE=34 meters,DE=16 meters,and AC=85 meters.what is the distance between A and B?

Answer 1

C) 40 m

Explanation:

The similar triangles are ...

ΔEDC ~ ΔABC

Corresponding sides are proportional, so we have ...

AB/ED = AC/EC

AB = ED·AC/EC = (16 m)(85/34) = 40 m

The distance between A and B is 40 meters.