Answer:
[tex]x\approx7.8[/tex]
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 the opposite side:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(23^\circ)=\frac{x}{20}[/tex]
[tex]20sin(23^\circ)=x[/tex]
[tex]x=20sin(23^\circ)[/tex]
[tex]x\approx7.8[/tex]
Therefore, the length of the opposite side is about 7.8 units