Answer:
x=6.7
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(31^\circ)=\frac{x}{13}[/tex]
[tex]13sin(31^\circ)=x[/tex]
[tex]x=13sin(31^\circ)[/tex]
[tex]x\approx6.7[/tex]
So, the opposite side is about 6.7 inches
