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Trigonometry and Architecture
Transcript of Trigonometry and Architecture
and balance as well
as accurate areas
of a perfect 90 degree
angle in houses. Perfect Angles Additional
Importance Trigonometry Functions Calculate forces related to diagonal elements (Gravity, compression, etc.)
find opposite and adjacent values related to an angle or hypotenuse (elevation)
find missing side length when you have 2 known sides Roof support (finding accurate roof pitch, slope without having to climb up physically)
The length of the roof = 1/2(w of house) divided by (cos roof angle)
Finding height of nearby buildings [comparison]
x = height
l = distance from surveyor
a = angle of elevations
Equation to find height of a building: x = l(tan a) Example: Houses All angles are equal
Revolves in a constant speed Example: Ferris Wheels Architecture Resources Least amount of sides and angles which makes the figures in buildings sturdy and rigid.
EXAMPLES: Benefits in Architectural Construction Architectural uses & Angular Velocity Angular Velocity (w) = Angle revolved in a gondola/ time Base is roughly 1/6 of entire wheel
requires a triangular base (equilateral) to stay upright
Angle of center must be big enough , but thin enough for the wheel to stand tall Thank You For Watching ~ C: Works Cited:
http://www.ecn.nl/news/newsletter-en/2009/june-2009/solar-energy-architecture/ Solar panel placements: Architects use trig ratios to place solar panels by using the slope of a roof to find the angle of the sunlight onto the solar panel.