We know that the sine of an angle is equal to the opposite of this angle (which is 20) divided by the hypotenuse (30). This translates to [tex]sin(x)=\frac{20}{30}[/tex]
To solve this equation, we first have to get x to one of the equation's sides. To accomplish this, we will apply sine inverse to both ends.
[tex]sin^{-1}(sin(x))=sin^{-1}(\frac{20}{30} )[/tex]
Remember that [tex]sin^{-1}(sin(\theta))=\theta[/tex]
[tex]x=sin^{-1}(\frac{20}{30} )[/tex]
Simplify using your calculator and that will give us [tex]x=41.8\°[/tex]
