Respuesta :

Answer:

we get [tex]Sin X=\frac{12}{13}[/tex]

Option B is correct answer.

Step-by-step explanation:

We need to find the trigonometric ratio Sin X

We know that [tex]Sin X = \frac{Perpendicular}{Hypotenuse}[/tex]

Looking at the figure, we have:

Perpendicular = XY = 24

Base = YZ = 10

Hypotenuse = XZ = 26

Now putting values in the formula and finding value of Sin X

[tex]Sin X = \frac{Perpendicular}{Hypotenuse}\\Sin X =\frac{24}{26}\\Sin X =\frac{12}{13}[/tex]

So, we get [tex]Sin X=\frac{12}{13}[/tex]

Option B is correct answer.