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# Arcitecture and Trigonometry

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## Chaitali Sheth

on 28 October 2013

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#### Transcript of Arcitecture and Trigonometry

By: Chaitali Sheth
Architecture and Trigonometry
Trigonometry in use:
Leaning tower of Pisa
THE END!!! :)
Architects design buildings and other structures. In addition to considering the way these buildings and structures look, they also make sure they are functional, safe, economical and suit the needs of the people who use them.
The median annual wage of an architect in 2009 was \$72,700. Architects who are just starting out or working as interns may make much less though, and more experienced architects can make as much as \$140,000.
Architects not only draw the plans for the building but they have to make sure the building follows safety codes and they also have to plan the budget for the building.
Example
A ferris wheel has a diameter 30 m, with the center 18 m above the ground. It makes one complete rotation in 60s. Find the cosine equation of height with respect to time.
How is trigonometry used in Architecture?
Trigonometry is used in Architecture to ensure that buildings
are built stably and to make sure they don't collapse.
For example, architects have to calculate exact angles of intersection for components of their structure to ensure stability and safety.
Instances of trigonometric use in architecture include arches, domes, support beams, and suspension bridges.
It is also used in construction of ferris wheels
Education and Earnings
English
Calculus
Physics
Visual Arts
Computers
Their earning range from \$40 000 to \$300 000
it is based on the level of education and experience
Trigonometry has been used in architecture as early as in Ancient Egypt. Take the pyramids for example, they had to have used the Pythagorean theorem, trigonometry, and simple algebra to have built such magnificent structures.
Architects may also use trigonometry for building flying buttresses.
Architects also use trigonometry to calculate the "pitch" or angle of rooftops.
The leaning tower of Pisa weighs 14,500 tonnes
The leaning tower of Pisa is only 55.86 meters tall
It was upright for five years upon completion of its initial construction
Construction : started in 1173
finished in 1399
Original Height : 60 m
Actual Height : 56.67m highest side
55.86m lowest side
Stairs : 297 steps
Weight : 14,500 tonnes
Thank you!!!
Level 3

Sample Title: Partner in Architectural Firm
Earnings: \$70,000 to \$300,000 a year
Requirements: Management experience
Responsibilities: Dealing with clients; negotiating contracts;
taking charge of entire projects, including
scheduling and budgeting; having
responsibility for staffing; overseeing
departments and functions of the firm.
Sample Career Path
Level 1

Sample Title: Intern
Earnings: \$40,000 to \$60,000 a year
Requirements: Bachelor’s or master’s degree in architecture
Responsibilities: Developing design or technical solutions
under the supervision of an architect.

Level 2