of bothAnswer:
O = 32
Explanation:
The sine ratio for the angle O gives
[tex]\sin O=\frac{op}{\text{adj}}[/tex][tex]\sin O=\frac{4.1}{7.7}[/tex]Taking the inverse sine ofboth sides gives
[tex]\sin ^{-1}(\sin O)=\sin ^{-1}(\frac{4.1}{7.7})_{}[/tex][tex]O=\sin ^{-1}(\frac{4.1}{7.7})_{}[/tex]Using the calculator we evaluate the right-hand side to get
[tex]\boxed{O\approx32^o}[/tex]which is our answer!
