Question

3. 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

Answer 1

The angle measures are A, B, C, D are 35, 55,55,55.

According to the statement

we have given that the bridge is perpendicular to the two towers. a. Angle A is 35 degrees.

And we have to find that the measure of angles B, C, and D.

So, For this purpose, we know that the

Angle A is 35 degrees and hint given is that the all angles in a triangle add to 180 degrees.

So,

A + B + X = 180

we know that A = 35 and X = 90 and

35 + B + 90 = 180

B = 180 - 90 - 35

B = 55

And

Now we find that the another angle Y.

So,

A + B + Y = 180

35 + 55 + Y = 180

Y = 90

Then

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,

B = C = 55

And

and also since they are similar triangles,

D = C = 55.

So, The angle measures are A, B, C, D are 35, 55,55,55.

Learn more about Angles here

brainly.com/question/25770607

#SPJ4