Respuesta :

Answer:[tex]sin\theta=\frac{12}{13}[/tex]Explanation:

Let us find the third side of the right triangle using the Pythagora's theorem

The missing side is the opposite side because it is facing the angle

[tex]\begin{gathered} 13^2=5^2+x^2 \\ \\ x^2=169-25 \\ \\ x^2=144 \\ \\ x=\sqrt[]{144} \\ \\ x=12 \end{gathered}[/tex][tex]\begin{gathered} sin\theta=\frac{opposite}{hypotenuse} \\ \\ sin\theta=\frac{12}{13} \end{gathered}[/tex]