Ski lift height

What height difference does the 2.5 km long ski lift overcome when the horizontal distance of the entry and exit station is 1200 meters?

Final Answer:

y =  2193.1712 m

Step-by-step explanation:

$$\begin{gathered} c=2.5\text{km}\to \text{m}=2.5\cdot 1000\text{m}=2500\text{m} \\ x=1200\text{m} \\ {x}^2+y^2=c^2 \\ y=\sqrt{c^2-x^2}=\sqrt{2500^2-1200^2}=100\sqrt{481}=2193.1712\text{m} \end{gathered}$$

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