SOLUTION: An unusual photo of the CN Tower in Toronto was taken. The photographer aligned the smokestack with the tower to take the photo. 1. Use the following info to determine an approxi

Algebra ->  Trigonometry-basics -> SOLUTION: An unusual photo of the CN Tower in Toronto was taken. The photographer aligned the smokestack with the tower to take the photo. 1. Use the following info to determine an approxi      Log On


   

Question 753674: An unusual photo of the CN Tower in Toronto was taken. The photographer aligned the smokestack with the tower to take the photo.
1. Use the following info to determine an approximate height for the smokestack.
- The camera is 440 m from the smokestack.
- The smokestack is 3200 m from the CN tower.
- The height of the part of the tower hidden behind the smokestack is 330 m.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Drawing (not to scale):
The camera is at C, lined up with smokestack AB and the tower (red), all on the vertical plane of the drawing.
Triangles ABC and DEC are similar (same angle measures, proportional side lengths, ABC is a scaled down version of DEC).
So x%2F440=330%2F%28440%2B3200%29 --> x%2F440=330%2F3640 --> x=330%2A440%2F3640 --> highlight%28x=40%29 (rounded)
The smokestack's height is approximately highlight%2840meters%29