Facts that Matter- Some Applications of Trigonometry

# Facts that Matter- Some Applications of Trigonometry | Mathematics (Maths) Class 10 PDF Download

## Heights and Distance

### Line of Sight

A line drawn from the eye of the observer to the point in the object viewed by the observer is called the line of sight.

### Angle of Elevation

The angle of elevation of the point viewed is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level. In the figure, ∠AOB is the angle of elevation.

### Angle of Depression

The angle of depression of the point viewed is the angle formed by the line of sight with the horizontal level when the point being viewed is below the horizontal level. In the figure, ∠AOC is the angle of depression.

Note:
In case of an angle of elevation the observer has to raise his head to look at the object whereas in case of an angle of depression he lowers his head to look at the point being viewed.

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## FAQs on Facts that Matter- Some Applications of Trigonometry - Mathematics (Maths) Class 10

 1. What are some practical applications of trigonometry in everyday life?
Ans. Trigonometry is used in various fields such as architecture, engineering, navigation, physics, and computer graphics. It helps in calculating heights and distances, determining angles and shapes, analyzing waveforms, designing structures, and predicting celestial movements.
 2. How is trigonometry used in architecture?
Ans. Trigonometry is extensively used in architecture to design and construct buildings. Architects use trigonometric ratios to measure angles and distances, calculate the height of structures, determine the incline of slopes, and ensure precise alignment and symmetry in their designs.
 3. Can you explain how trigonometry is applied in navigation?
Ans. Trigonometry plays a vital role in navigation, particularly in marine and aerial navigation. By using trigonometric principles, navigators can determine their position, calculate distances between two points, measure angles of elevation or depression, and plot accurate routes on maps or charts.
 4. How is trigonometry relevant in physics?
Ans. Trigonometry is essential in physics for analyzing the motion of objects, calculating forces, determining the angle of incidence and reflection, studying waves and vibrations, and understanding the behavior of light and sound. It provides the mathematical foundation for various physical concepts and equations.
 5. In what ways is trigonometry used in computer graphics?
Ans. Trigonometry is extensively used in computer graphics to create realistic images and animations. It helps in calculating the position and orientation of objects, determining the angles of rotation and projection, mapping textures onto surfaces, and simulating lighting and shadow effects. Trigonometric functions are used to generate smooth curves and shapes in 3D modeling and animation software.

## Mathematics (Maths) Class 10

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