$
\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=45^{\circ} \qquad b=5m \qquad \\ \\ \textbf{Rechnung:} \\
a = tan \alpha \cdot b \\
\alpha=45^{\circ}\\
b=5m\\
a = tan 45^{\circ} \cdot 5m\\\\a=5m
\\\\\\ \small \begin{array}{|l|} \hline alpha=\\ \hline 45 ° \\ \hline 2,7\cdot 10^{3} \text{'} \\ \hline 1,62\cdot 10^{5} \text{''} \\ \hline 50 gon \\ \hline 0,785 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline 5 m \\ \hline 50 dm \\ \hline 500 cm \\ \hline 5\cdot 10^{3} mm \\ \hline 5\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 5 m \\ \hline 50 dm \\ \hline 500 cm \\ \hline 5\cdot 10^{3} mm \\ \hline 5\cdot 10^{6} \mu m \\ \hline \end{array}$