Question

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

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$, where $\theta=32^\circ$, opposite side is $AC$, hypotenuse $AB=8$.

Step2: Rearrange to solve for AC

$AC = AB \times \sin(32^\circ)$

Step3: Calculate the value

$\sin(32^\circ)\approx0.5299$, so $AC\approx8\times0.5299=4.2392$

Step4: Round to nearest tenth

$AC\approx4.2$

Answer:

$4.2$