Question

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.

Answer:

Answer 1

It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.

How to solve the triangle?

It should be noted that the triangles are similar because the three internal angles are equal.

In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.

The width of the river will be:

300/80 = AB/50

AB = (300 × 50)/80

AB = 187.50 feet.

Learn more about triangles on:

brainly.com/question/17335144