Question

Hi, can you help me to solve this exercise please

Answer 1

RS = 2

Step-by-step explanation

Using SOH CAH TOA

`\begin{gathered} \text{ sin }\theta\text{ = }(Opp)/(Hyp) \\ sin45^0\text{ = }\frac{RS}{2\sqrt[]{2}} \\ \text{ Recall: sin }45^0\text{ = }\frac{1}{\sqrt[]{2}} \\ \frac{1}{\sqrt[]{2}}\text{ = }\frac{RS}{2\sqrt[]{2}} \\ \text{ Cross multiply} \\ \sqrt[]{2}\text{ RS = 2}\sqrt[]{2} \\ \text{ Divide through by }\sqrt[]{2} \\ \frac{\sqrt[]{2}\text{ RS}}{\sqrt[]{2}}\text{ = }\frac{2\sqrt[]{2}}{\sqrt[]{2}} \\ RS\text{ = 2} \end{gathered}`

Hence, RS is 2