$
\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}
\\\\\\ \small \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 \end{array} \small \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 \end{array} \small \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 \end{array}$