Question

Taylor Swift wants to find the distance, AB, across a river. She starts at point B and walks along the edge of the river 94 ft and marks point C. Then she walks 76 ft further and marks point D. She turns 90° and walks until her final location and marks point E. Point E, point A, and point C are collinear.

Answer 1

A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.

B) 158.3ft

Explanation:

A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.

B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)

I truly hope this helps! :)