We have the next equation
[tex]\sin (\theta)=\frac{1}{4}[/tex]We will isolate the theta
[tex]\theta=\sin ^{-1}(\frac{1}{4})[/tex][tex]\theta=14.48\text{\degree}[/tex]For the next solution
[tex]\theta=180-14.48=165.52\text{\degree}[/tex]ANSWER
θ=14.48°
θ=165.52°
