Respuesta :

Answer:

20 degrees

Step-by-step explanation:

I don't know why the 30 degrees was given at point A because you don't need that.

The equation is;

Sinx=  Opposite/Hypotneuse

     x = Sin inverse (50/146)

        = 20.02

        Rounded to 20 degrees

The measure of the angle x or the value of x is 20 degrees after applying the sin ratio in a right-angle triangle DCB.

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 a right-angle triangle shown in the picture.

From the right angle triangle we can find the value of x or measure of the angle x by applying the trigonometric ratios:

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Applying sin ratio in a right-angle triangle DCB:

sinx = 50/146

sinx = 0.342

x = 20.02 ≈ 20 degrees

Thus, the measure of the angle x or the value of x is 20 degrees after applying the sin ratio in a right-angle triangle DCB.

Learn more about trigonometry here:

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