To solve this, we need to use our trignometric functions; ⇒ look at the diagram attachedLet's examine what the problem wants:hypotenuse (longest side) of the triangleLet's examine what the problem gives us:side adjacent to the 45-degree angleangle that has measure of 45-degreesLet's solve: [tex]sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07[/tex]Answer: 7.1 (rounded to nearest tenth)Hope that helps!