Beispiel Nr: 01
$ \text{Gegeben:}\\\text{Hypotenuse} \qquad c \qquad [m] \\ \text{Gegenkathete zu }\alpha \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ sin \alpha = \frac{a}{c}\\ \textbf{Gegeben:} \\ c=9m \qquad a=6m \\ \\ \textbf{Rechnung:} \\ sin \alpha = \frac{a}{c} \\ c=9m\\ a=6m\\ sin \alpha = \frac{6m}{9m}\\ \\ \alpha=41,8^{\circ} \\\\\\ \tiny \begin{array}{|l|} \hline c=\\ \hline 9 m \\ \hline 90 dm \\ \hline 900 cm \\ \hline 9\cdot 10^{3} mm \\ \hline 9\cdot 10^{6} \mu m \\ \hline 0,009 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline a=\\ \hline 6 m \\ \hline 60 dm \\ \hline 600 cm \\ \hline 6\cdot 10^{3} mm \\ \hline 6\cdot 10^{6} \mu m \\ \hline 0,006 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline alpha=\\ \hline 41,8 ° \\ \hline 2,51\cdot 10^{3} \text{'} \\ \hline 1,51\cdot 10^{5} \text{''} \\ \hline 46,5 gon \\ \hline 0,73 rad \\ \hline 0,00073 mrad \\ \hline \end{array}$