Beispiel Nr: 03
$ \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=3m \qquad a=4m \qquad \\ \\ \textbf{Rechnung:} \\ tan \alpha = \frac{a}{b} \\ b=3m\\ a=4m\\ tan \alpha = \frac{4m}{3m}\\\\\alpha=53,1^{\circ} \\ \small \begin{array}{|l|} \hline b=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline 0,003 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline a=\\ \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}\\ \small \begin{array}{|l|} \hline alpha=\\ \hline 53,1 ° \\ \hline 3,19\cdot 10^{3} \text{'} \\ \hline 1,91\cdot 10^{5} \text{''} \\ \hline 59 gon \\ \hline 0,927 rad \\ \hline 0,000927 mrad \\ \hline \end{array}\\$