Respuesta :

Question:

Solution:

Remember the following definition :

[tex]\cos (x)=\frac{adjacent\text{ side to the angle x }}{hypotenuse}[/tex]

thus, if:

[tex]\cos (x)=\frac{adjacent\text{ side to the angle x }}{hypotenuse}=\frac{\sqrt[]{3}}{2}[/tex]

then, according to the given triangles in the problem, the only angle that fulfills this, is:

[tex]x=30[/tex]

so that, the correct answer is:

[tex]x=30[/tex]

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