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Barbara is building a wooden cabin. The cabin is 42 meters wide. She obtained a bunch of 27 meters long wooden beams for the roof of the cabin. Naturally, she wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams?

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MrEquation
Answer: The angle of elevation should be 38.9 degrees.

To find this answer, it is always best to draw a picture of the building. The point of the roof, will be directly over the middle of the cabin. Therefore, we could draw an altitude down from the top to the cabin and create a right triangle.

This would form a triangle with an adjacent side and hypotenuse with our needed angle.

We could write and solve the following cosine equation:

cos(x) = 21/27
x = 38.9

The angle of elevation is 38.9° if Barbara is building a wooden cabin. The cabin is 42 meters wide. She obtained a bunch of 27 meters long wooden beams for the roof of the cabin.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Width of the cabin = 42 meters

Wooden beam length = 27 meters

Since opposite beams would meet exactly in the middle.

The half of the beam width = 42/2 ⇒ 21 meters

As we can see in the right angle triangle:

[tex]\rm cosx = \frac{21}{27}[/tex]

[tex]\rm x = cos^{-1}(\frac{21}{27} )[/tex]

x = 38.9°

Thus, the angle of elevation is 38.9° if Barbara is building a wooden cabin. The cabin is 42 meters wide. She obtained a bunch of 27 meters long wooden beams for the roof of the cabin.

Know more about trigonometry here:

brainly.com/question/26719838

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