Beispiel Nr: 06
$ \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=20^{\circ} \qquad c=6\frac{1}{2}m \qquad \\ \\ \textbf{Rechnung:} \\ b = cos \alpha \cdot c \\ \alpha=20^{\circ}\\ c=6\frac{1}{2}m\\ b = cos 20^{\circ} \cdot 6\frac{1}{2}m\\\\b=6,11m \\\\\\ \tiny \begin{array}{|l|} \hline alpha=\\ \hline 20 ° \\ \hline 1,2\cdot 10^{3} \text{'} \\ \hline 7,2\cdot 10^{4} \text{''} \\ \hline 22,2 gon \\ \hline 0,349 rad \\ \hline 0,000349 mrad \\ \hline \end{array} \tiny \begin{array}{|l|} \hline c=\\ \hline 6,5 m \\ \hline 65 dm \\ \hline 650 cm \\ \hline 6,5\cdot 10^{3} mm \\ \hline 6,5\cdot 10^{6} \mu m \\ \hline 0,0065 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \hline 6,11 m \\ \hline 61,1 dm \\ \hline 611 cm \\ \hline 6,11\cdot 10^{3} mm \\ \hline 6,11\cdot 10^{6} \mu m \\ \hline 0,00611 km \\ \hline \end{array}$