First,
Name each side of the triangle
side facing right angle is the hypotanuse
side facing given angle is the opposite
the last side is the adjacent
Opposite = 41
Hypotanuse = AB
[tex]\theta\text{ = 18}[/tex]
[tex]\begin{gathered} \sin \theta\text{ = }\frac{opposite}{\text{hypotanuse}} \\ \sin 18\text{ = }\frac{41}{AB} \\ 0.309\text{ = }\frac{41}{AB} \\ \text{Cross multiply} \\ 0.309AB\text{ = 41} \\ \text{Divide through by 0.309} \\ AB\text{ = }\frac{41}{0.309} \\ AB\text{ = 132.68} \end{gathered}[/tex]
