Answer:
12.9 centimeters
Explanation:
The given equation is
![sin(40\°)=(b)/(20)](https://img.qammunity.org/2019/formulas/mathematics/college/vep8pp6eazpofb0xio61d3hguq6gf0uy1e.png)
Where
represents the length of the segment AC, according to the given graph.
To find
we just need to isolate it in the given equation,
![b=20sin(40\°)](https://img.qammunity.org/2019/formulas/mathematics/college/we1w7leyz0b2111dm7tzz2065zln6el0sn.png)
Then, we know that
, so
![b=20(0.64)=12.9cm](https://img.qammunity.org/2019/formulas/mathematics/college/znxemf954xligeqdy1nczmgnyn6i98mr4c.png)
Therefore, the length of segment AC is 12.9 centimeters, rounded to the nearest tenth.