Finding Height Using Similar Triangles

Explanation

The similar triangle proportion gives:

\[\frac{h}{ED} = \frac{BC}{DC} \implies \frac{h}{ED} = \frac{40}{25}\]

With the given values set up as \(\frac{h}{25} = \frac{40}{2}\) (where the second triangle has legs 25 ft and 2 ft base with a 50 ft height correspondence), the actual problem gives \(h = \frac{25 \times 40}{2} = 500\) ft.