Beispiel Nr: 05
$ \text{Gegeben:}\\\text{Ankathete zu } \alpha \qquad b \qquad [m] \\ \text{Gegenkathete zu } \alpha \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ tan \alpha = \frac{a}{b}\\ \textbf{Gegeben:} \\ b=4m \qquad a=2m \qquad \\ \\ \textbf{Rechnung:} \\ tan \alpha = \frac{a}{b} \\ b=4m\\ a=2m\\ tan \alpha = \frac{2m}{4m}\\\\\alpha=26,6^{\circ} \\\\\\ \tiny \begin{array}{|l|} \hline b=\\ \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 a=\\ \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} \tiny \begin{array}{|l|} \hline alpha=\\ \hline 26,6 ° \\ \hline 1,59\cdot 10^{3} \text{'} \\ \hline 9,56\cdot 10^{4} \text{''} \\ \hline 29,5 gon \\ \hline 0,464 rad \\ \hline 0,000464 mrad \\ \hline \end{array}$