Applications of Trigonometry Class 10 Maths NCERT Solutions Chapter 9 is concerned with the understanding of various aspects of why, where and how trigonometry is used. Students preparing for some applications of trigonometry Class 10 will be able to clear all their concepts on applications of trigonometry at the root level. Trigonometry is used to refine complicated problems in many physical sciences and engineering topics today. Expert faculty of Toppr produced these solutions to assist students with their first term exam preparations. It covers all major concepts in detail, allowing students to understand the ideas better.
NCERT Solutions Applications of Trigonometry class 10 Maths chapter 9 concentrate on the essential concepts such as the angle of elevation, angle of depression, and angle of sight. All of these solutions are designed with the new CBSE pattern in mind so that students have a complete understanding of their tests.
Some Applications of Trigonometry chapter 9 maths class 10 Questions and Answers are very useful for getting good grades in tests and properly preparing you with all of the important concepts. These NCERT Solutions are valuable tools that can assist you not only in covering the full syllabus but also in providing an in-depth analysis of the subjects. The Class 10 Maths NCERT Solutions Chapter 9 are available in pdf format below, and some of them are also included in the exercises.
Trigonometry is the branch of mathematics that deals with the relationships between the sides and angles of triangles, as well as the related functions of triangle angles. Trigonometry was developed in response to a requirement in astronomy. Since then, astronomers have used it to measure distances from Earth to planets and stars, among other things. In geography and navigation, trigonometry is also used. Trigonometry is used to create maps and determine the position of an island in relation to longitudes and latitudes.
The line of sight in the illustration above refers to the line drawn from an observer's eye to the top of the object. The observer is looking up at the object's top. The angle θ, created by the line of sight with the horizontal line is known as the angle of elevation of the top of an object from the observer's eye.
The line AC in the above picture is the line of sight when the observer looks downwards from the top of the building at A to the object at C. Angle of depression is defined as the angle produced by the line of sight with the horizontal when the observer lowers his/her head.
Trigonometric ratios can be used to calculate the height or length of an object, as well as the distance between two distant objects.
Q1. What are the most important topics in NCERT Class 10 Chapter 9 Some Applications of Trigonometry?
Answer: NCERT Solutions Class 10 Maths Chapter 9's main concepts Trigonometry applications include the angle of depression, angle of elevation, and line of sight. All questions based on these themes have detailed step-by-step responses. Students should make a point of drawing the corresponding figures after reading the question to better comprehend these topics. On the Toppr website, there is a comprehensive explanation for the answers.
Q2. How many exercises are there in Chapter 9 Some Applications of Trigonometry of Class 10 Maths?
Answer: Exercise 9.1 at the end of Chapter 9 Some Applications of Trigonometry of Class 10 Maths is the only exercise in this chapter. This chapter's portion has 16 questions that are covered in the first two parts. There are a total of 16 questions in Class 10 Maths Chapter 9 Some Applications of Trigonometry, with 6 being quite easy, 5 being moderate, and 5 being long answer type problems.
Q3. Explain a few real-life applications of trigonometry?
Answer: Today, trigonometry is utilized to refine difficult problems in many physical sciences and engineering topics. Trigonometry is employed in the development of computer music because sound travels in the form of waves, and this wave pattern employing sine and cosine functions aids in the development of computer music. Analytical trigonometry is essential in engineering fields such as mechanical engineering, electronics, and mechatronics. It has been used by astronomers to calculate distances from Earth to planets and stars, among other things. Trigonometry is also employed in geography and navigation. Trigonometry is used to make maps and calculate an island's position in reference to longitudes and latitudes. It is used in the marine and aviation industries. It is used in cartography (creation of maps). Trigonometry is also employed in satellite systems.