Geg: Hypothenuse $=100m=100\backslash ;m$, $\alpha ={50}^{\circ }\backslash alpha\; =50^\backslash circ$

Zur Verdeutlichung eine Skizze zeichnen.

Mit Hilfe des Sinus $hh$ berechnen.

$\sin \left({50}^{\circ }\right)={\displaystyle \frac{h}{100\text{ m}}}\mid \cdot 100\text{ m}\backslash sin\backslash left(50^\backslash circ\backslash right)=\backslash dfrac\; h\{100\backslash \; \backslash text\{m\}\}\; \backslash quad\; \backslash quad\; \backslash left|\backslash cdot100\backslash \; \backslash text\{m\}\backslash right.$

Nach $hh$ umformen.

$h=\sin \left({50}^{\circ }\right)\cdot 100{\text{m}}^{}h=\backslash sin\backslash left(50^\{\backslash circ\}\backslash right)\backslash cdot100\backslash \; \backslash text\{m\}^\{\; \}$

Multipilikation.

$h=\mathrm{76,6}mh=76\{,\}6\backslash ;m$

$\Rightarrow \backslash Rightarrow\backslash ;\backslash ;$ Der Flieger ist $\mathrm{76,6}m76\{,\}6\backslash ;\; m$ über dem Wasser.