Question

WILL GIVE 30 POINTS, PLEASE ANSWER QUICKLY! 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. 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 1

B) So the first cable is 115.

The second would be 115 + 32 = 147.

The third cable would be 147 + 32 = 179

All together it takes 4 of each cable to make the bridge so,

L= 4 · (115 + 147+ 179)

L = 4 · (441)

L = 1323km

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Let's think for a moment... 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

B) So the first cable is 115.

The second would be 115 + 32 = 147.

The third cable would be 147 + 32 = 179

All together it takes 4 of each cable to make the bridge so,

L= 4 · (115 + 147+ 179)

L = 4 · (441)

L = 1323km

Nice job everyone! Whoop! Whoop! We made it!