Respuesta :

[tex]B)\frac{4}{5}[/tex]

Explanation

For the angle α, the sine function gives the ratio of the length of the opposite side to the length of the hypotenuse.

[tex]\sin \alpha=\frac{\text{opposite side}}{\text{hypotenuse}}=\frac{y}{z}[/tex]

then, Let

[tex]\begin{gathered} \text{opposite side= 36} \\ \text{hypotenuse =45} \\ \text{angle}=\angle x \end{gathered}[/tex]

Now, replace

[tex]\begin{gathered} \sin \alpha=\frac{\text{opposite side}}{\text{hypotenuse}} \\ \sin \angle x=\frac{36}{45}=\frac{12}{15}=\frac{4}{5} \\ \sin \angle x=\frac{4}{5} \end{gathered}[/tex]

so, the answer is

[tex]B)\frac{4}{5}[/tex]

I hope this helps you

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