Beispiel Nr: 05
$ \text{Gegeben:}\\\text{Hypotenuse} \qquad c \qquad [m] \\ \text{Ankathete zu } \alpha \qquad b \qquad [m] \\ \\ \text{Gesucht:} \\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \\ cos \alpha = \frac{b}{c}\\ \textbf{Gegeben:} \\ c=2\frac{3}{10}m \qquad b=1m \qquad \\ \\ \textbf{Rechnung:} \\ cos \alpha = \frac{b}{c} \\ c=2\frac{3}{10}m\\ b=1m\\ cos \alpha = \frac{1m}{2\frac{3}{10}m}\\\\\alpha=64,2^{\circ} \\ \small \begin{array}{|l|} \hline c=\\ \hline 2,3 m \\ \hline 23 dm \\ \hline 230 cm \\ \hline 2,3\cdot 10^{3} mm \\ \hline 2,3\cdot 10^{6} \mu m \\ \hline 0,0023 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline b=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline 0,001 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline alpha=\\ \hline 64,2 ° \\ \hline 3,85\cdot 10^{3} \text{'} \\ \hline 2,31\cdot 10^{5} \text{''} \\ \hline 71,4 gon \\ \hline 1,12 rad \\ \hline 0,00112 mrad \\ \hline \end{array}\\$