Question

PLEASE HELP

Rihanna wants to find the distance, AB, across a river. She starts at point B and walks along the edge of the river 215 ft and marks point C. Then she walks 25 ft further and marks point D. She turns 85° and walks until her final location and marks point E. Point E, point A, and point C are collinear.

Answer 1

She used the AA theorem because the two interior angles B and D are equal to 85 degrees. ABC and EDC are equal because they are vertically opposite angles.

ABC=EDC

ABC~EDC By AA criterion of similarity

AB/ED = AC/EC Because the corresponding sides of similar triangles are proportional.
Suppose (DE) =105 ft. Calculate the distance of (AB) . Show your work. Don’t forget to label your answer.

The answer is AB= 903

105=DE 25=DC 215=CB 903=AB

105/25= 4.2

4.2 * 215 = AB=903

Explanation: