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Trigonometry in architecture
Architects use these equations to determine measurements for their blueprints. Roofs in peticular require trigonometry to find the peak as well as the angle of the roofs slope. To find this angle, they use the equation: arcsin(Y/r)=theta, where Y = the hieght of the roof and r = the length of the roof and theta is the angle of depression.
n the picture on the right, the angle of the slope of the roof is determined by arcsin(3.66/4.83)
Picture 1: www.dkimages.com
Info 1: www.brainmass.com
Info 2: www.pbs.org
Picture 2: www.make-my-own-house.com
Flying butresses: http://www.uncp.edu/home/rwb/Flying_Buttresses.gif
Trigonometry allows us to describe the shapes and forms in numerical equations
Right Triangle Trigonometry is crucial in determining hight and shadow length. Using sine, cosine, or tangent, one can find these unknown measurements. For the image on the left, Y = the hight of the tower, and X = the distance from the tower to point A. If theta = the angle from point A to the top of the tower, then the tangent of theta is equal to the ratio of Y/X.
Trigonometry is used to distribute the force evenly in complex buildings such as the Flying Butresses of Notre Dame (above)