solving right triangle find the missing side. round to the nearest tenth number 14

To find the missing value we can us the sine function:
[tex]\sin \theta=\frac{\text{opp}}{\text{hyp}}[/tex]in this case the missing value x is the hypotenuse, the opposite leg is 35 and the angle is 45°, then we have:
[tex]\begin{gathered} \sin 45=\frac{35}{x} \\ x=\frac{35}{\sin 45} \\ x=42.4 \end{gathered}[/tex]Then we have that x=42.4