Question

Find the length of RS to the nearest tenth of a meter

Answer 1

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:

`\begin{gathered} \cos (28)=(RS)/(QS) \\ 0.88=(RS)/(9.6) \\ RS=9.6\cdot0.88=8.45\text{ m} \end{gathered}`

The length of the side RS is approximately 8.5 meters.