$\begin{array}{l} \text{Gegeben:}\\\text{Länge der Seite} \qquad b \qquad [m] \\ \text{Länge der Seite} \qquad a \qquad [m] \\ \text{Winkel} \qquad \beta \qquad [^{\circ}] \\ \\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ sin\alpha = \frac{a\cdot sin\beta }{ b}\\ \textbf{Gegeben:} \\ b=15m \qquad a=2m \qquad \beta=120^{\circ} \qquad \\ \\ \textbf{Rechnung:} \\ sin\alpha = \frac{a\cdot sin\beta }{ b} \\ b=15m\\ a=2m\\ \beta=120^{\circ}\\ sin\alpha = \frac{2m\cdot sin120^{\circ} }{15m}\\ \\ 0<\alpha<90° \qquad \alpha_1=6,63^{\circ} \\ 90°<\alpha<180° \qquad \alpha_2=180° - 6,63^{\circ} \\ \alpha_2=173 \\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 15 m \\ \hline 150 dm \\ \hline 1,5\cdot 10^{3} cm \\ \hline 1,5\cdot 10^{4} mm \\ \hline 1,5\cdot 10^{7} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 2 m \\ \hline 20 dm \\ \hline 200 cm \\ \hline 2\cdot 10^{3} mm \\ \hline 2\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline beta=\\ \hline 120 ° \\ \hline 7,2\cdot 10^{3} \text{'} \\ \hline 4,32\cdot 10^{5} \text{''} \\ \hline 133\frac{1}{3} gon \\ \hline 2,09 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline alpha=\\ \hline 6,63 ° \\ \hline 398 \text{'} \\ \hline 2,39\cdot 10^{4} \text{''} \\ \hline 7,37 gon \\ \hline 0,116 rad \\ \hline \end{array} \end{array}$