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andrey2020 [161]
2 years ago
6

. An arch has the shape of a semi-ellipse. The arch

Mathematics
1 answer:
Gre4nikov [31]2 years ago
4 0

The height of the arch at a distance of 5 feet from the center is approximately 10. 93 feet

<h3>Equation of an eclipse</h3>

It is important to note that the standard equation of an eclipse centered at origin behind the shape of arch is given as;

\frac{x^2}{a^2} + \frac{y^2}{b^2}

Where;

  • x - Horizontal distance, in feet
  • y - Vertical distance, in feet
  • a - Horizontal semi - axis length (half-width), in feet
  • b  - Vertical semi - axis length (height), in feet

If we know that x = 6feet , a = 20 feet and b = 12feet, then the height of the arch at this location is;

y = b . \sqrt{1 + \frac{x^2}{a^2} }

y = 12. \sqrt{1 - \frac{6^2}{20^2} }

y = 10. 92 feet

Thus, the height of the arch at a distance of 5 feet from the center is approximately 10. 93 feet

Learn more about eclipses here:

brainly.com/question/16904744

#SPJ1

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