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Applications of Trigonometry Video Lecture | Crash Course: Class 10

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FAQs on Applications of Trigonometry Video Lecture - Crash Course: Class 10

1. How is trigonometry used in real life?
Ans. Trigonometry is used in various real-life applications such as architecture, navigation, engineering, and physics. It helps architects in designing buildings and bridges, ensuring their stability and proper angles. Navigation systems like GPS rely on trigonometry to calculate distances and angles between different locations. Engineers use trigonometry to design and construct structures, analyze forces, and determine suitable angles for various components. In physics, trigonometry is used to study waves, vibrations, and periodic phenomena.
2. How does trigonometry help in calculating distances?
Ans. Trigonometry helps in calculating distances by using the concept of trigonometric ratios. For example, if we know the angle of elevation and the height of an object, we can calculate the distance to the object using the tangent ratio. Similarly, if we know the angle of depression and the height of an observer, we can calculate the distance to an object using the tangent ratio. Trigonometry also helps in calculating distances indirectly by using the Law of Sines or the Law of Cosines in triangles.
3. How is trigonometry used in surveying?
Ans. Trigonometry plays a crucial role in surveying. Surveyors use trigonometry to measure and map land areas, determine distances between points, and calculate angles and elevations. They use the principles of trigonometry to set up theodolites and total stations, which are instruments used in surveying to measure angles and distances accurately. By applying trigonometric formulas and calculations, surveyors can create accurate maps, determine property boundaries, and plan construction projects.
4. Can trigonometry be used in astronomy?
Ans. Yes, trigonometry is extensively used in astronomy. Astronomers use trigonometry to calculate distances between celestial objects, determine the sizes of stars and planets, and measure angles and trajectories of moving objects in space. By using the principles of trigonometry, astronomers can calculate the distance to stars using parallax, determine the height and width of celestial bodies, and predict the paths of comets and asteroids. Trigonometry is an essential tool for understanding and exploring the universe.
5. How does trigonometry help in solving right triangles?
Ans. Trigonometry provides a set of ratios and formulas that help in solving right triangles. The three primary trigonometric ratios - sine, cosine, and tangent - are used to find the lengths of sides and measure angles in right triangles. By using these ratios, we can determine unknown side lengths or angles when given known side lengths or angles. Trigonometry also helps in solving right triangles by applying the Pythagorean theorem, which relates the lengths of the sides in a right triangle. This allows us to find missing side lengths or verify if a triangle is a right triangle.
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