$\begin{array}{l} \text{Gegeben:}\\\text{Länge der Seite} \qquad b \qquad [m] \\ \text{Länge der Seite} \qquad a \qquad [m] \\ \text{Winkel} \qquad \beta \qquad [^{\circ}] \\ \\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ sin\alpha = \frac{a\cdot sin\beta }{ b}\\ \textbf{Gegeben:} \\ b=4m \qquad a=3m \qquad \beta=80^{\circ} \qquad \\ \\ \textbf{Rechnung:} \\ sin\alpha = \frac{a\cdot sin\beta }{ b} \\ b=4m\\ a=3m\\ \beta=80^{\circ}\\ sin\alpha = \frac{3m\cdot sin80^{\circ} }{4m}\\ \\ 0<\alpha<90° \qquad \alpha_1=47,6^{\circ} \\ 90°<\alpha<180° \qquad \alpha_2=180° - 47,6^{\circ} \\ \alpha_2=132 \\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline beta=\\ \hline 80 ° \\ \hline 4,8\cdot 10^{3} \text{'} \\ \hline 2,88\cdot 10^{5} \text{''} \\ \hline 88\frac{8}{9} gon \\ \hline 1,4 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline alpha=\\ \hline 47,6 ° \\ \hline 2,86\cdot 10^{3} \text{'} \\ \hline 1,71\cdot 10^{5} \text{''} \\ \hline 52,9 gon \\ \hline 0,831 rad \\ \hline \end{array} \end{array}$