Beispiel Nr: 01
$ \text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Gegenkathete zu }\alpha \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Hypotenuse} \qquad c \qquad [m] \\ \\ c = \frac{ a}{sin\alpha }\\ \textbf{Gegeben:} \\ \alpha=50^{\circ} \qquad a=7m \\ \\ \textbf{Rechnung:} \\ c = \frac{ a}{sin\alpha } \\ \alpha=50^{\circ}\\ a=7m\\ c = \frac{7m}{sin50^{\circ} }\\\\c=9,14m \\ \small \begin{array}{|l|} \hline alpha=\\ \hline 50 ° \\ \hline 3\cdot 10^{3} \text{'} \\ \hline 1,8\cdot 10^{5} \text{''} \\ \hline 55,6 gon \\ \hline 0,873 rad \\ \hline 0,000873 mrad \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline a=\\ \hline 7 m \\ \hline 70 dm \\ \hline 700 cm \\ \hline 7\cdot 10^{3} mm \\ \hline 7\cdot 10^{6} \mu m \\ \hline 0,007 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline c=\\ \hline 9,14 m \\ \hline 91,4 dm \\ \hline 914 cm \\ \hline 9,14\cdot 10^{3} mm \\ \hline 9,14\cdot 10^{6} \mu m \\ \hline 0,00914 km \\ \hline \end{array}\\$