SOLUTION: A cable-stayed bridge is similar to a suspension bridge, but is more efficient for medium distances. In this design of bridge, there are two towers, and strong cables attach to th

Algebra ->  Angles -> SOLUTION: A cable-stayed bridge is similar to a suspension bridge, but is more efficient for medium distances. In this design of bridge, there are two towers, and strong cables attach to th      Log On


   

Question 1041738: A cable-stayed bridge is similar to a suspension bridge, but is more efficient for medium distances. In this design of bridge, there are two towers, and strong cables attach to the tops of the towers and the sides of the bridge. Assume the bridge is perpendicular to the two towers.

https://byuis.brainhoney.com/Resource/46824920,0/Assets/Media/Images/41.1-HOT2-Bridge.jpg

a. Angle A is 35 degrees. Explain how you can find the measure of angles B, C, and D. (Hint: all angles in a triangle add to 180 degrees.) Can you find the measure of every angle on the bridge?
b. The four shortest cables are 115 meters long. Each successive cable is 32 meters longer than the one below it. How much cable is needed to make the bridge?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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A%2BB%2BX=180
A=35
X=90
35%2BB%2B90=180
B=55
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Y=90
In order to calculate C, you have to make an assumption that was not given in the problem. The assumption is that triangles ABX and YCZ are mirror images of each other.
Then,
C=B=55
and also since they are similar triangles,
D=C=55
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b) So the first cable is 115.
THe second would be 115%2B32=147.
The third cable would be 147%2B32=179
All together it takes 4 of each cable to make the bridge so,
L=4%28115%2B147%2B179%29
L=4%28441%29
L=1323km