Ellipses, parabolas, and infinity. A parabola can be defined as the locus of points equidistant from a fixed point (called the focus) and a fixed line (called the directrix). But we know from projective geometry that parabolas and ellipses are essentially the same object.

$x^2(x+1)+2(x+1)=(x^2+2)(x+1)$
The falling distance of the glasses is 8 meters.
<h3>How to calculate the distance</h3>
From the information, the hotel’s balcony was 5 meters from the ground floor and he dropped his glasses to the bottom of the hotel’s pool that was 3 meters deep.
Therefore the falling distance will be:
= 5 - (-3)
= 5 + 3
= 8
The falling distance of the glasses is 8 meters
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