$\begin{array}{l} \text{Gegeben:}\\\text{Winkel} \qquad \beta \qquad [^{\circ}] \\ \text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Länge der Seite} \qquad b \qquad [m] \\ \\ \text{Gesucht:} \\\text{Länge der Seite} \qquad a \qquad [m] \\ \\ a = \frac{b\cdot sin\alpha }{ sin\beta }\\ \textbf{Gegeben:} \\ \beta=50^{\circ} \qquad \alpha=45^{\circ} \qquad b=7m \qquad \\ \\ \textbf{Rechnung:} \\ a = \frac{b\cdot sin\alpha }{ sin\beta } \\ \beta=50^{\circ}\\ \alpha=45^{\circ}\\ b=7m\\ a = \frac{7m\cdot sin45^{\circ} }{ sin50^{\circ} }\\\\a=6,46m \\\\\\ \small \begin{array}{|l|} \hline beta=\\ \hline 50 ° \\ \hline 3\cdot 10^{3} \text{'} \\ \hline 1,8\cdot 10^{5} \text{''} \\ \hline 55\frac{5}{9} gon \\ \hline 0,873 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline alpha=\\ \hline 45 ° \\ \hline 2,7\cdot 10^{3} \text{'} \\ \hline 1,62\cdot 10^{5} \text{''} \\ \hline 50 gon \\ \hline 0,785 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline 7 m \\ \hline 70 dm \\ \hline 700 cm \\ \hline 7\cdot 10^{3} mm \\ \hline 7\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 6,46 m \\ \hline 64,6 dm \\ \hline 646 cm \\ \hline 6,46\cdot 10^{3} mm \\ \hline 6,46\cdot 10^{6} \mu m \\ \hline \end{array} \end{array}$