Beispiel Nr: 07
$ \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=2m \qquad a=1,73m \\ \\ \textbf{Rechnung:} \\ sin \alpha = \frac{a}{c} \\ c=2m\\ a=1,73m\\ sin \alpha = \frac{1,73m}{2m}\\ \\ \alpha=60^{\circ} \\ \small \begin{array}{|l|} \hline c=\\ \hline 2 m \\ \hline 20 dm \\ \hline 200 cm \\ \hline 2\cdot 10^{3} mm \\ \hline 2\cdot 10^{6} \mu m \\ \hline 0,002 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline a=\\ \hline 1,73 m \\ \hline 17,3 dm \\ \hline 173 cm \\ \hline 1,73\cdot 10^{3} mm \\ \hline 1,73\cdot 10^{6} \mu m \\ \hline 0,00173 km \\ \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 66,7 gon \\ \hline 1,05 rad \\ \hline 0,00105 mrad \\ \hline \end{array}\\$