Beispiel Nr: 02
$ \text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Hypotenuse} \qquad c \qquad [m] \\ \\ \text{Gesucht:} \\\text{Gegenkathete zu }\alpha \qquad a \qquad [m] \\ \\ a = sin \alpha \cdot c\\ \textbf{Gegeben:} \\ \alpha=45^{\circ} \qquad c=5m \qquad \\ \\ \textbf{Rechnung:} \\ a = sin \alpha \cdot c \\ \alpha=45^{\circ}\\ c=5m\\ a = sin 45^{\circ} \cdot 5m\\\\a=3,54m \\\\\\ \tiny \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 0,000785 mrad \\ \hline \end{array} \tiny \begin{array}{|l|} \hline c=\\ \hline 5 m \\ \hline 50 dm \\ \hline 500 cm \\ \hline 5\cdot 10^{3} mm \\ \hline 5\cdot 10^{6} \mu m \\ \hline 0,005 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline a=\\ \hline 3,54 m \\ \hline 35,4 dm \\ \hline 354 cm \\ \hline 3,54\cdot 10^{3} mm \\ \hline 3,54\cdot 10^{6} \mu m \\ \hline 0,00354 km \\ \hline \end{array}$