$
\text{Gegeben:}\\\text{Hypotenuse} \qquad c \qquad [m] \\
\text{Gegenkathete zu }\alpha \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\
\\ sin \alpha = \frac{a}{c}\\ \textbf{Gegeben:} \\ c=6m \qquad a=5m \\ \\ \textbf{Rechnung:} \\
sin \alpha = \frac{a}{c} \\
c=6m\\
a=5m\\
sin \alpha = \frac{5m}{6m}\\ \\
\alpha=56,4^{\circ}
\\\\\\ \small \begin{array}{|l|} \hline c=\\ \hline 6 m \\ \hline 60 dm \\ \hline 600 cm \\ \hline 6\cdot 10^{3} mm \\ \hline 6\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} \small \begin{array}{|l|} \hline alpha=\\ \hline 56,4 ° \\ \hline 3,39\cdot 10^{3} \text{'} \\ \hline 2,03\cdot 10^{5} \text{''} \\ \hline 62,7 gon \\ \hline 0,985 rad \\ \hline \end{array}$