please help with my geometry

Answer:
92.99
Step-by-step explanation:
Since this is a right triangle sine can be used to find the missing side. Sine should be used because you have the opposite and are trying to find the hypotenuse. So, following SOH-COH-TOA, the equation should be [tex]sin(34)=\frac{52}{x}[/tex]. Then, isolate x; once x is isolated the equation should be [tex]x=\frac{52}{sin(34)}[/tex]. Finally, plug that into a calculator to get ≈92.99116, which rounds to 92.99.