Respuesta :

Using relations in a right triangle, considering c as the hypotenuse, we have that the length of side A is: [tex]a = 8.5\sqrt{3}[/tex]

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

From the information given, we can build the following relation:

cos(A) = a/c.

[tex]\frac{\sqrt{3}}{2} = \frac{a}{17}[/tex]

[tex]a = \frac{17\sqrt{3}}{2}[/tex]

[tex]a = 8.5\sqrt{3}[/tex]

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

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