Beispiel Nr: 01
$ \text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Hypotenuse} \qquad c \qquad [m] \\ \\ \text{Gesucht:} \\\text{Ankathete zu } \alpha \qquad b \qquad [m] \\ \\ b = cos \alpha \cdot c\\ \textbf{Gegeben:} \\ \alpha=30^{\circ} \qquad c=4m \qquad \\ \\ \textbf{Rechnung:} \\ b = cos \alpha \cdot c \\ \alpha=30^{\circ}\\ c=4m\\ b = cos 30^{\circ} \cdot 4m\\\\b=3,46m \\\\\\ \tiny \begin{array}{|l|} \hline alpha=\\ \hline 30 ° \\ \hline 1,8\cdot 10^{3} \text{'} \\ \hline 1,08\cdot 10^{5} \text{''} \\ \hline 33,3 gon \\ \hline 0,524 rad \\ \hline 0,000524 mrad \\ \hline \end{array} \tiny \begin{array}{|l|} \hline c=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline 0,004 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \hline 3,46 m \\ \hline 34,6 dm \\ \hline 346 cm \\ \hline 3,46\cdot 10^{3} mm \\ \hline 3,46\cdot 10^{6} \mu m \\ \hline 0,00346 km \\ \hline \end{array}$