Question:medium

An elliptical arch of a bridge has a horizontal span of 50 ft and a maximum height of 20 ft at the center. The bridge road is constructed 4 ft above the highest point of the arch.
If a point on the arch is 15 ft away from the center horizontally, find the vertical distance of this point from the bridge road.

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In problems involving geometric shapes like ellipses or parabolas, the first step is always to set up a coordinate system and write down the standard equation. Placing the center at the origin (0,0) often simplifies calculations. Pay close attention to what each dimension in the problem represents (e.g., span vs. semi-axis).
Updated On: Apr 19, 2026
  • 5 ft
  • 8 ft
  • 10 ft
  • 24 ft
  • None of these
Show Solution

The Correct Option is B

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