# Relationship between trigonometry and architecture

### How to Use Trigonometry in Architecture | Sciencing

For this project, I chose to do internet research how Trigonometry applies to an Architect because I have an interest in that career. 2Wednesday. Ancient architects had to be mathematicians because architecture was part of mathematics. Using math and design principles, they built. I'll give you one simple technique that architects use when they are trying to create a right angle. According to Pythagoras rule, in a right angle triangle, the sum.

### How trigonometry is Used in Architecture by Keira Ramsay on Prezi

Kemp speaks of mediaeval instruments of considerable elaboration and precision, most notably quadrants and astrolabes, which could be used for terrestrial mensuration, although this was not their prime function.

Cosimo Bartoli shows an astrolabe being used for the measurement of a building. A compound bussola, from Bartoli. A similar device called a bussola is described in Bartoli's book. The theodolite used for our present method is nothing but a more precise version of the bussola.

The Pantheon in Rome was surveyed by a method that used two electronic theodolites to simultaneously sight a point on the structure, their output being fed to a computer to give an instantaneous readout of coordinates. The Method Slide Theodolite Setup The equipment needed for this method is a surveyor's tape and a theodolite, an instrument for measurement of horizontal and vertical angles.

It consists of a bubble level to establish the horizontal and vertical, a telescope that can rotate vertically in a mount that can also turn horizontally, with precise scales to read the angles.

To get the depth dimension, the procedure requires two theodolite setup positions, with a set of readings taken from each location. This second setup also provides a second set of numbers with which to check the first. This method will work with walls that are leaning out of plumb, have offsets, are curved, or have projecting elements like sills or cornices.

This procedure does not require the theodolite to be at the same height at each position, thus is suitable for sighting from sloping ground. Further, it is not required that the two theodolite positions be at the same distance from the wall.

The procedure will give two values for each y coordinate, which are independent and can be averaged to give a final value. Basic Structural Theory In addition to designing the way a structure looks, architects must understand forces and loads that act upon those structures. Vectors -- which have a starting point, magnitude and direction -- enable you to define those forces and loads.

An architect can use trigonometric functions to work with vectors and compute loads and forces. For instance, you can use sine and cosine functions determine a vector's components if you express it terms of the angle it forms relative to an axis.

Sciencing Video Vault Truss Analysis and Trigonometry Designing structures that can handle load forces applied to them is important for architects. They often use trusses in their design to transfer a structure's load forces to some form of support. A truss is like a beam but lighter and more efficient. Have you ever played the game, Mario? When you see him so smoothly glide over the road blocks. Trigonometry helps Mario jump over these obstacles. As you know Gaming industry is all about IT and computers and hence Trigonometry is of equal importance for these engineers.

In construction we need trigonometry to calculate the following: Measuring fields, lots and areas; Making walls parallel and perpendicular; Installing ceramic tiles; Roof inclination; The height of the building, the width length etc.

**Showing relationship between cosine and sine of complements - Trigonometry - Khan Academy**

Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles. Trigonometry in flight engineering: Flight engineers have to take in account their speed, distance, and direction along with the speed and direction of the wind.

The wind plays an important role in how and when a plane will arrive where ever needed this is solved using vectors to create a triangle using trigonometry to solve. For example, if a plane is travelling at mph, 45 degrees N of E, and there is a wind blowing due south at 20 mph. Trigonometry will help to solve for that third side of your triangle which will lead the plane in the right direction, the plane will actually travel with the force of wind added on to its course.

## Real life applications of trigonometry

In physics, trigonometry is used to find the components of vectors, model the mechanics of waves both physical and electromagnetic and oscillations, sum the strength of fields, and use dot and cross products. Even in projectile motion you have a lot of application of trigonometry. Do archaeologists use trigonometry? Trigonometry is used to divide up the excavation sites properly into equal areas of work. Archaeologists identify different tools used by the civilization, using trigonometry can help them in these excavate.

They can also use it to measure the distance from underground water systems.