Respuesta :

[tex]\sin 17^{\circ} = \dfrac{x}{9.3}\\\\\implies x = 9.3 \sin 17^{\circ} =2.7~~ \text{units}[/tex]

Answer:

[tex]x\approx 2.7[/tex]

Step-by-step explanation:

In relation to the angle, we are given the triangle's opposite side and hypotenuse. Therefore, we will use the sine function to determine the value of the opposite side:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(17^\circ)=\frac{x}{9.3}[/tex]

[tex]9.3sin(17^\circ)=x[/tex]

[tex]x=9.3sin(17^\circ)[/tex]

[tex]x\approx 2.7[/tex]

So, the length of the opposite side is 2.7 units.