Höhe Plattform$\text{ B }({\text{HP}}_B):\backslash \; \backslash text\{B\}\backslash \; \backslash \; (\backslash text\{HP\}\_B):$

$v=3{\displaystyle \frac{\text{m}}{\text{s}}};t=2\text{ min}=120s\backslash \; v=3\backslash dfrac\{\backslash text\{m\}\}\{\backslash text\{s\}\};\backslash \; t=2\backslash \; \backslash text\{min\}=120\backslash \; s$

${\text{HP}}_B=120s\cdot 3{\displaystyle \frac{\text{m}}{s}}=360\text{ m}\backslash \; \backslash text\{HP\}\_B=120\backslash \; s\backslash cdot3\backslash \; \backslash dfrac\{\backslash text\{m\}\}\{s\}=360\backslash \; \backslash text\{m\}$

Höhe Plattform$\text{ A }({\text{HP}}_A):\backslash \; \backslash text\{A\}\backslash \; \backslash \; (\backslash text\{HP\}\_A):$

${\displaystyle \frac{{\text{HP}}_B}{{\text{HP}}_A}}={\displaystyle \frac{3}{2}}\Rightarrow {\displaystyle \frac{360\text{ m}}{{\text{HP}}_A}}={\displaystyle \frac{3}{2}}\backslash \; \backslash dfrac\{\backslash text\{HP\}\_B\}\{\backslash text\{HP\}\_A\}=\backslash dfrac\{3\}\{2\}\backslash Rightarrow\backslash dfrac\{360\backslash \; \backslash text\{m\}\}\{\backslash text\{HP\}\_A\}=\backslash dfrac\{3\}\{2\}$

$\Rightarrow 3{\text{HP}}_A=720\text{ m}\Rightarrow {\text{HP}}_A={\displaystyle \frac{720\text{ m}}{3}}\backslash \; \backslash Rightarrow\; 3\backslash text\{HP\}\_A\backslash \; =\backslash \; 720\backslash \; \backslash text\{m\}\backslash Rightarrow\backslash text\{HP\}\_A=\backslash dfrac\{720\backslash \; \backslash text\{m\}\}\{3\}$

$\Rightarrow {\text{HP}}_A=240\text{ m}\backslash \; \backslash Rightarrow\backslash \; \backslash \; \backslash text\{HP\}\_A\backslash \; =\backslash \; 240\backslash \; \backslash text\{m\}$

Plattform$\text{ A }\backslash \; \backslash text\{A\}\backslash$befindet sich in einer Höhe von$240\text{ m}\backslash \; 240\backslash \; \backslash text\{m\}$.