Beispiel Nr: 01
$\text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Gegenkathete zu } \alpha \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Ankathete zu } \alpha \qquad b \qquad [m] \\ \\ b = \frac{ a}{tan\alpha }\\ \textbf{Gegeben:} \\ \alpha=30^{\circ} \qquad a=4m \qquad \\ \\ \textbf{Rechnung:} \\ b = \frac{ a}{tan\alpha } \\ \alpha=30^{\circ}\\ a=4m\\ b = \frac{ 4m}{tan30^{\circ} }\\\\b=6,93m \\ \small \begin{array}{|l|} \hline alpha=\\ \hline 30 ° \\ \hline 1,8\cdot 10^{3} \text{'} \\ \hline 1,08\cdot 10^{5} \text{''} \\ \hline 33,3 gon \\ \hline 0,524 rad \\ \hline 0,000524 mrad \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline a=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline 0,004 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline b=\\ \hline 6,93 m \\ \hline 69,3 dm \\ \hline 693 cm \\ \hline 6,93\cdot 10^{3} mm \\ \hline 6,93\cdot 10^{6} \mu m \\ \hline 0,00693 km \\ \hline \end{array}\\$