TeX Quellcode:

{\varphi = \arccos \left( \dfrac{ \frac{5}{4} \cdot \left(-\frac{8}{15}\right) + 9 \cdot \left(-\frac{4}{3}\right) + \frac{7}{2} \cdot (-10)}{\sqrt{{\left(\frac{5}{4}\right)}^2+{9}^2+{\left(\frac{7}{2}\right)}^2} \cdot \sqrt{{\left(-\frac{8}{15}\right)}^2+{\left(-\frac{4}{3}\right)}^2+{\left(-10\right)}^2}} \right) = \arccos \left( \dfrac{-\frac{143}{3}}{\sqrt{\frac{1.517}{16}}\cdot\sqrt{\frac{22.964}{225}}} \right) \approx 118{,}98^{\circ}}