$\begin{array}{l} \text{Gegeben:}\\\text{Länge der Seite} \qquad b \qquad [m] \\ \text{Länge der Seite} \qquad a \qquad [m] \\ \text{Winkel} \qquad \beta \qquad [^{\circ}] \\ \\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ sin\alpha = \frac{a\cdot sin\beta }{ b}\\ \textbf{Gegeben:} \\ b=8m \qquad a=2m \qquad \beta=50^{\circ} \qquad \\ \\ \textbf{Rechnung:} \\ sin\alpha = \frac{a\cdot sin\beta }{ b} \\ b=8m\\ a=2m\\ \beta=50^{\circ}\\ sin\alpha = \frac{2m\cdot sin50^{\circ} }{8m}\\ \\ 0<\alpha<90° \qquad \alpha_1=11\frac{5}{122}^{\circ} \\ 90°<\alpha<180° \qquad \alpha_2=180° - 11\frac{5}{122}^{\circ} \\ \alpha_2=168\frac{117}{122} \\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 8 m \\ \hline 80 dm \\ \hline 800 cm \\ \hline 8\cdot 10^{3} mm \\ \hline 8\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 2 m \\ \hline 20 dm \\ \hline 200 cm \\ \hline 2\cdot 10^{3} mm \\ \hline 2\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline beta=\\ \hline 50 ° \\ \hline 3\cdot 10^{3} \text{'} \\ \hline 1,8\cdot 10^{5} \text{''} \\ \hline 55\frac{5}{9} gon \\ \hline 0,873 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline alpha=\\ \hline 11\frac{5}{122} ° \\ \hline 662 \text{'} \\ \hline 3,97\cdot 10^{4} \text{''} \\ \hline 12,3 gon \\ \hline 0,193 rad \\ \hline \end{array} \end{array}$