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Real-Life Applications of Trigonometry

Trigonometry is a study of the relationship between angles, lengths, and heights. It is an important branch of mathematics that finds its applications in many spheres, from astronomy to geometric studies. The use of trigonometric formulas is quite prevalent in various fields like physics, architecture, surveying, astronomy, and even in the investigation of a crime scene. Apart from these spheres, trigonometry is widely applicable in various fields like electronics, satellite navigation, composing music, engineering, architecture, etc.

Trigonometry Applications in Real Life

Trigonometry may not involve directly in solving problems but is applied in various fields to do certain things like it is applicable in creating digital music: as you are familiar that sound travels in the form of waves and this wave pattern, through a sine or cosine function for developing computer music. Here are a few applications where trigonometry and its functions are applicable.

Calculating Heights

Trigonometry is often used in determining the height of buildings, towers, mountains and other objects. With some prior information provided, like the distance of the object from the viewpoint and the measure of the elevation angle, we can simply calculate the height of the object by applying trigonometric functions.

Construction and Architecture

There is a vast use of trigonometry in architecture and construction to calculate various dimensions like heights, lengths, areas, and more. In construction, trigonometric functions are applied to build parallel and perpendicular walls, inclined roofs, fix tiles, etc. In the field of architecture, trigonometry is applied to determine the structural weight, slopes, floor area, and many other aspects, including sun shading and light angles.

In Aviation

In the past few years, there have been many innovations in aviation technology. It has enhanced the flying techniques by taking into account the wind’s speed, distance, and direction. The wind plays a crucial role in when and how a flight will travel, and there are equations for determining all this that can be solved using trigonometry.

In Criminology

Trigonometry is also applied in crime investigations to find certain things on a crime scene. The trigonometric functions are utilized to determine a bullet’s trajectory or to assess the factors responsible for the collision in a car accident. Moreover, it is also helpful to figure out how an object fell or at what angle a gun was shot.

Marine Biology

Marine biologists often use trigonometry to figure out the depth of sunlight to determine the photosynthesis of algae. By making use of the trigonometric functions, marine biologists can evaluate the size of larger animals like whales and understand their behaviors.


Trigonometry is also helpful in navigation; it evaluates the direction for keeping the compass to get directions. With the help of a compass and trigonometric functions in navigation, it will be easy to pinpoint a location and also to find distance as well to see the horizon.

There are many other applications of trigonometry, like calculus. It is based on trigonometry and algebra. The fundamental trigonometric functions like sine and cosine are utilized to define sound and light waves. Trigonometry is also applied in oceanography to measure the heights of waves and tides in the oceans. It is useful in the creation of maps and satellite systems. Thus, trigonometry is a highly important topic to learn due to its applications in various branches of mathematics in daily life. Cuemath (www.cuemath.com) offers the best online math classes for students to learn the applications of math concepts interestingly. With the use of various interactive resources like maths games, puzzles, and worksheets, students can quickly grasp this concept in no time. You can easily find some of these resources by visiting cuemath.com.

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