The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely resemble parabolas. The left side of the arch is close to parabolic in shape all the way to the floor. On the righ side of the arch, it is parabolic in shape until 2.09 meters from the floor. Then the arch drops vertically at this point. The equation of the parabola that closely models these arches is 17 (y - 2.96) 2, where x and y are measured in meters. %3D 100 How tall is the arch? meters How wide is the floor? meters

The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely resemble parabolas. The left side of the arch is close to parabolic in shape all the way to the floor. On the righ side of the arch, it is parabolic in shape until 2.09 meters from the floor. Then the arch drops vertically at this point. The equation of the parabola that closely models these arches is 17 (y - 2.96) 2, where x and y are measured in meters. %3D 100 How tall is the arch? meters How wide is the floor? meters

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely resemble
parabolas. The left side of the arch is close to parabolic in shape all the way to the floor. On the right
side of the arch, it is parabolic in shape until 2.09 meters from the floor. Then the arch drops
vertically at this point. The equation of the parabola that closely models these arches is
17
·(y-2.96) = x", where x and y are measured in meters.
100
How tall is the arch?
meters
How wide is the floor?
meters
2 Calculator

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