Answer:
12.9 centimeters
Step-by-step explanation:
The given equation is
[tex]sin(40\°)=\frac{b}{20}[/tex]
Where [tex]b[/tex] represents the length of the segment AC, according to the given graph.
To find [tex]b[/tex] we just need to isolate it in the given equation,
[tex]b=20sin(40\°)[/tex]
Then, we know that [tex]sin(40\°) \approx 0.64[/tex], so
[tex]b=20(0.64)=12.9cm[/tex]
Therefore, the length of segment AC is 12.9 centimeters, rounded to the nearest tenth.
