Question

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

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
Here, $\theta=32^\circ$, opposite side $QS=5$, hypotenuse $RS$ is unknown.

Step2: Rearrange to solve for RS

Rearrange the sine formula: $RS=\frac{QS}{\sin(32^\circ)}$

Step3: Calculate the value

Substitute values: $RS=\frac{5}{\sin(32^\circ)}$
$\sin(32^\circ)\approx0.5299$, so $RS\approx\frac{5}{0.5299}\approx9.4$

Answer:

9.4