1. Wendy wants to find the width, AB, of a river. She walks along the edge of the river 300 ft and marks point C. Then she walks 80 ft further and marks point D. She turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location, as shown. (a) Can Wendy conclude that ΔABC and ΔEDC are similar? Why or why not?
(b) Suppose DE = 50 ft. Calculate the width of the river, AB. Show all your work.