Beispiel Nr: 05
$ \text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Ankathete zu } \alpha \qquad b \qquad [m] \\ \\ \text{Gesucht:} \\\text{Gegenkathete zu } \alpha \qquad a \qquad [m] \\ \\ a = tan \alpha \cdot b\\ \textbf{Gegeben:} \\ \alpha=60^{\circ} \qquad b=1\frac{1}{5}m \qquad \\ \\ \textbf{Rechnung:} \\ a = tan \alpha \cdot b \\ \alpha=60^{\circ}\\ b=1\frac{1}{5}m\\ a = tan 60^{\circ} \cdot 1\frac{1}{5}m\\\\a=2,08m \\\\\\ \tiny \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} \tiny \begin{array}{|l|} \hline b=\\ \hline 1,2 m \\ \hline 12 dm \\ \hline 120 cm \\ \hline 1,2\cdot 10^{3} mm \\ \hline 1,2\cdot 10^{6} \mu m \\ \hline 0,0012 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline a=\\ \hline 2,08 m \\ \hline 20,8 dm \\ \hline 208 cm \\ \hline 2,08\cdot 10^{3} mm \\ \hline 2,08\cdot 10^{6} \mu m \\ \hline 0,00208 km \\ \hline \end{array}$