$\begin{array}{l} \text{Gegeben:}\\\text{Länge der Seite} \qquad b \qquad [m] \\ \text{Länge der Seite} \qquad a \qquad [m] \\ \text{Winkel} \qquad \beta \qquad [^{\circ}] \\ \\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ sin\alpha = \frac{a\cdot sin\beta }{ b}\\ \textbf{Gegeben:} \\ b=3m \qquad a=3m \qquad \beta=60^{\circ} \qquad \\ \\ \textbf{Rechnung:} \\ sin\alpha = \frac{a\cdot sin\beta }{ b} \\ b=3m\\ a=3m\\ \beta=60^{\circ}\\ sin\alpha = \frac{3m\cdot sin60^{\circ} }{3m}\\ \\ 0<\alpha<90° \qquad \alpha_1=60^{\circ} \\ 90°<\alpha<180° \qquad \alpha_2=180° - 60^{\circ} \\ \alpha_2=120 \\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline beta=\\ \hline 60 ° \\ \hline 3,6\cdot 10^{3} \text{'} \\ \hline 2,16\cdot 10^{5} \text{''} \\ \hline 66\frac{2}{3} gon \\ \hline 1,05 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline alpha=\\ \hline 60 ° \\ \hline 3,6\cdot 10^{3} \text{'} \\ \hline 2,16\cdot 10^{5} \text{''} \\ \hline 66\frac{2}{3} gon \\ \hline 1,05 rad \\ \hline \end{array} \end{array}$