Beispiel Nr: 03
$\text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Ankathete zu } \alpha \qquad b \qquad [m] \\ \\ \text{Gesucht:} \\\text{Hypotenuse} \qquad c \qquad [m] \\ \\ c = \frac{ b}{cos \alpha }\\ \textbf{Gegeben:} \\ \alpha=30^{\circ} \qquad b=\frac{1}{5}m \qquad \\ \\ \textbf{Rechnung:} \\ c = \frac{ b}{cos \alpha } \\ \alpha=30^{\circ}\\ b=\frac{1}{5}m\\ c = \frac{\frac{1}{5}m}{cos 30^{\circ} }\\\\c=0,231m \\\\\\ \tiny \begin{array}{|l|} \hline alpha=\\ \hline 30 ° \\ \hline 1,8\cdot 10^{3} \text{'} \\ \hline 1,08\cdot 10^{5} \text{''} \\ \hline 33,3 gon \\ \hline 0,524 rad \\ \hline 0,000524 mrad \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \hline 0,2 m \\ \hline 2 dm \\ \hline 20 cm \\ \hline 200 mm \\ \hline 2\cdot 10^{5} \mu m \\ \hline 0,0002 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline c=\\ \hline 0,231 m \\ \hline 2,31 dm \\ \hline 23,1 cm \\ \hline 231 mm \\ \hline 2,31\cdot 10^{5} \mu m \\ \hline 0,000231 km \\ \hline \end{array}$