Beispiel Nr: 05
$ \text{Gegeben:}\\\text{Winkel} \qquad \alpha \qquad [^{\circ}] \\ \text{Gegenkathete zu }\alpha \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Hypotenuse} \qquad c \qquad [m] \\ \\ c = \frac{ a}{sin\alpha }\\ \textbf{Gegeben:} \\ \alpha=70^{\circ} \qquad a=34m \\ \\ \textbf{Rechnung:} \\ c = \frac{ a}{sin\alpha } \\ \alpha=70^{\circ}\\ a=34m\\ c = \frac{34m}{sin70^{\circ} }\\\\c=36,2m \\ \small \begin{array}{|l|} \hline alpha=\\ \hline 70 ° \\ \hline 4,2\cdot 10^{3} \text{'} \\ \hline 2,52\cdot 10^{5} \text{''} \\ \hline 77,8 gon \\ \hline 1,22 rad \\ \hline 0,00122 mrad \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline a=\\ \hline 34 m \\ \hline 340 dm \\ \hline 3,4\cdot 10^{3} cm \\ \hline 3,4\cdot 10^{4} mm \\ \hline 3,4\cdot 10^{7} \mu m \\ \hline 0,034 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline c=\\ \hline 36,2 m \\ \hline 362 dm \\ \hline 3,62\cdot 10^{3} cm \\ \hline 3,62\cdot 10^{4} mm \\ \hline 3,62\cdot 10^{7} \mu m \\ \hline 0,0362 km \\ \hline \end{array}\\$