To solve this problem, I'll use proportions
[tex]\begin{gathered} \text{ }\frac{RS}{RV\text{ + VT}}\text{ = }\frac{RV}{RS} \\ \text{ RS(RS) = RV(RV + VT)} \end{gathered}[/tex]Substitution
[tex]\begin{gathered} \text{ RS}^2\text{ = 4.1(4.1+ 10.2)} \\ RS^2\text{ = 4.1(14.3)} \\ RS^2\text{ = 58.63} \\ RS\text{ = 7.66} \end{gathered}[/tex]Rounding to the nearsert tenth
This is the result;
RS = 7.7