We were given a right triangle, with a known angle and a known hypothenuse, we want to find the nearest side to the known angle, so we must use the cosine relation, as shown below:
[tex]\begin{gathered} \cos (28)=\frac{RS}{QS} \\ 0.88=\frac{RS}{9.6} \\ RS=9.6\cdot0.88=8.45\text{ m} \end{gathered}[/tex]
The length of the side RS is approximately 8.5 meters.
