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Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points)

A right triangle is shown with one leg measuring 12 and the hypotenuse is labeled 13. An angle made with the leg measuring 12 a

Respuesta :

Complete second part is;

A right triangle is shown with one leg measuring 12 and the hypotenuse is labeled 13. An angle made with the leg measuring 12 and the hypotenuse is marked x degrees.

Answer:

22.62°

Step-by-step explanation:

I have attached an image showing the right angles triangle.

From the image, we can see that the adjacent part is 12 while the hypotenuse is 13 and the angle between the adjacent part and hypotenuse is x.

Thus, from trigonometric ratios, we can solve as;

Adj/hyp = cos x

Thus;

12/13 = cos x

cos x = 0.9231

x = cos^(-1) 0.9231

x = 22.62°

Ver imagen AFOKE88

The value of angle x is [tex]22.62[/tex] degrees.

Trigonometric function :

Given that, a right angle triangle, in which hypotenuse is 13 and base is 12.

A right angle triangle ABC attached below,

We have to find angle x

 Apply cos of angle x in below triangle,

                    [tex]cos(x)=\frac{12}{13}\\ \\cos(x)=0.92\\\\x=cos^{-1}(0.92)=22.62[/tex]

Learn more about the right angle triangle here:

https://brainly.com/question/64787

Ver imagen ibiscollingwood