$
\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=30^{\circ} \qquad b=2m \qquad \\ \\ \textbf{Rechnung:} \\
a = tan \alpha \cdot b \\
\alpha=30^{\circ}\\
b=2m\\
a = tan 30^{\circ} \cdot 2m\\\\a=1,15m
\\\\\\ \small \begin{array}{|l|} \hline alpha=\\ \hline 30 ° \\ \hline 1,8\cdot 10^{3} \text{'} \\ \hline 1,08\cdot 10^{5} \text{''} \\ \hline 33\frac{1}{3} gon \\ \hline 0,524 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \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 a=\\ \hline 1,15 m \\ \hline 11,5 dm \\ \hline 115 cm \\ \hline 1,15\cdot 10^{3} mm \\ \hline 1,15\cdot 10^{6} \mu m \\ \hline \end{array}$