Question

find ac. write your answer as an integer or as a decimal rounded to the nearest tenth. ac =

Explanation:

Step1: Identify trigonometric relation

In right - triangle $ABC$ with right - angle at $B$, $\sin C=\frac{AB}{AC}$.

Step2: Substitute known values

We know that $AB = 2.9$ and $C = 23^{\circ}$. So, $\sin(23^{\circ})=\frac{2.9}{AC}$.

Step3: Solve for $AC$

$AC=\frac{2.9}{\sin(23^{\circ})}$. Since $\sin(23^{\circ})\approx0.3907$, then $AC=\frac{2.9}{0.3907}\approx7.4$.

Answer:

$7.4$