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A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.
What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?
16.7°
17.5°
72.5°
73.3°

A theater production group is making frames to support walllike props Threefoot beams form right triangles with 10foot beams to allow them to stand as shown in class=

Respuesta :

carlosego

For this case, we can use the following trigonometric relationship:

[tex] tan(x) = \frac{C.O}{C.A} [/tex]

Where,

C.O: opposite leg

AC; adjacent leg

x: angle

Substituting values we have:

[tex] tan(x) = \frac{3}{10} [/tex]

From here, we clear the value of x.

We have then:

[tex] x = tan^{-1}(\frac{3}{10})

x = 16.7 [/tex]

Answer:

the angle at which the diagonal beam meets the 10-foot beam at the top of the frame is:

16.7°

The value of angle x is 16.7 degrees.

What are right triangles?

A right triangle is a triangle that has 3 sides. The sides include the hypotenuse, base and the height. One of the angles measure 90 degrees. The sum of angles in a triangle is 180 degrees.

What is the value of x?

In order to determine the value of x, tan would be used. This is because:

Tan = opposite / adjacent

[tex]Tan^{-1}[/tex] (3/10) = 16.7 degrees

To learn more about triangles, please check: https://brainly.com/question/9329354

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