# ellipse

## Problem 02 - Semi-Elliptical Arch in a Stone Bridge

**Problem**

A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.

A. 1.41 m | C. 1.56 m |

B. 1.63 m | D. 1.73 m |

## Conic Sections

**Definition**

Conic sections can be defined as the locus of point that moves so that the ratio of its distance from a fixed point called the focus to its distance from a fixed line called the directrix is constant. The constant ratio is called the eccentricity of the conic.

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## 50 - 52 Nearest distance from a given point to a given curve

**Problem 50**

Find the shortest distance from the point (4, 2) to the ellipse x^{2} + 3y^{2} = 12.