Respuesta :

In order to find the cosine of theta, first let's find the length of the third side of the triangle, using Pythagorean theorem:

[tex]\begin{gathered} 13^2=12^2+x^2 \\ 169=144+x^2 \\ x^2=169-144 \\ x^2=25 \\ x=5 \end{gathered}[/tex]

The cosine relation is given by the length of the adjacent side to the angle over the length of the hypotenuse.

So we have:

[tex]\cos (\theta)=\frac{5}{13}[/tex]

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