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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?

A surveyor is conducting measures to see how wide a river is between points A and Busing her surveying instrumentshe creates two similar right trianglesABCEDCCE class=

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sqdancefan

Answer:

  C)  40 m

Step-by-step 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.

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