$
\text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\
\text{Hypotenuse} \qquad c \qquad [m] \\
\\ \text{Gesucht:} \\\text{Ankathete zu } \alpha \qquad b \qquad [m] \\
\\ b = cos \alpha \cdot c\\ \textbf{Gegeben:} \\ \alpha=30^{\circ} \qquad c=4\frac{1}{2}m \qquad \\ \\ \textbf{Rechnung:} \\
b = cos \alpha \cdot c \\
\alpha=30^{\circ}\\
c=4\frac{1}{2}m\\
b = cos 30^{\circ} \cdot 4\frac{1}{2}m\\\\b=3,9m
\\\\\\ \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 c=\\ \hline 4\frac{1}{2} m \\ \hline 45 dm \\ \hline 450 cm \\ \hline 4,5\cdot 10^{3} mm \\ \hline 4,5\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline b=\\ \hline 3,9 m \\ \hline 39 dm \\ \hline 390 cm \\ \hline 3,9\cdot 10^{3} mm \\ \hline 3,9\cdot 10^{6} \mu m \\ \hline \end{array}$