TeX Quellcode:

{\varphi = \arccos \left( \dfrac{ -15 \cdot \frac{22}{5} + \left(-\frac 14\right) \cdot 12 + 18 \cdot \left(-\frac{7}{2}\right)}{\sqrt{{(-15)}^2+{\left(-\frac 14\right)}^2+{18}^2} \cdot \sqrt{{\left(\frac{22}{5}\right)}^2+{12}^2+{\left(-\frac{7}{2}\right)}^2}} \right) = \arccos \left( \dfrac{-132}{\sqrt{\frac{8.785}{16}}\cdot\sqrt{\frac{17.561}{100}}} \right) \approx 115{,}16^{\circ}}