In the previous chapter, you have studied about trigonometric ratios. In this chapter, you will be studying some ways in which trigonometry is used in the life around you. Trigonometry is one of the most ancient subjects studied by scholars all over the world. As we have studied in Chapter 8, trigonometry was invented because its need was identified in astronomy. In this chapter, we will see how trigonometry is used for finding the heights and distances of various objects, without actually measuring them.

NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry uses the concept of trigonometric ratios learned in the previous chapters and shows kids its practical implementation. Trigonometry was invented because its need arose in astronomy. Since then astronomers have used it, for instance, to calculate distances from the Earth to the planets and stars. It is also used in geography and in navigation. Apart from this, trigonometry is used to construct maps as well as determine the position of an island in relation to the longitudes and latitudes. This chapter is packed with a variety of real-life scenarios that make use of trigonometry, especially when calculating the heights and distances of objects. NCERT solutions class 10 Maths Chapter 9 is one of the most exciting chapters in the textbook as it helps students relate trigonometry to everyday life.


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NCERT Solutions Class 10 maths chapter 9 is entirely based on the applications of trigonometry. Understanding these applications is important because it is widely used in various fields such as engineering, architecture, navigation, design, etc. As kids are required to learn a host of formulas to attempt trigonometric problems it is highly advised that they revise this chapter at least twice. Let us now go through the detailed analysis of NCERT Solutions Class 10 Maths Chapter 9 Some Applications of Trigonometry.

Topics Covered: Topics covered in Class 10 Maths NCERT Solutions Chapter 9 are the angle of elevation, angle of depression, and angle of sight. These topics help students explore the applications of trigonometry in real-life situations.

Revised and modified NCERT Solutions for class 10 Maths Chapter 9 Some applications of Trigonometry Exercise 9.1 in English Medium and Hindi Medium updated for CBSE 2023-24. The questions of 10th Maths Exercise 9.1 are based on Height and Distance concept following the applications of Trigonometry.

In chapter 9 Some Applications of Trigonometry of class 10 math, students will study how trigonometry is used for finding the heights and distances of various objects, without actually measuring them. Also in this chapter students will see the meaning of Angle of Elevation and Angle of Depression.

The fundamental notions of trigonometry are the angle functions and their applications to computations. So, the triangle measurement is the sum of its sides and angles. It helps in determining the angles and distances between structures, and focuses on right-angled triangles, i.e. triangles including one angle that is 90 degrees.

By learning these NCERT Class 10-Chapter 9 Maths solutions, students can learn to find height and distance of different objects without really measuring it. Leaning this will help the students to answer all the problems based on trigonometry and will also help in solving problems of class tests and CBSE 2023 exams.

Answer: There are many uses of trigonometry such as to roof a house, to make roof inclined (in case of single individual bungalows) and the height of the roof in a building, etc. In addition, the aviation and naval industry use it. Moreover, cartographers use it in creating maps and it has applications in satellite systems.

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Although trigonometric functions seem to be concerned with only triangles, they do go far beyond that, even in elementary mathematics. Trigonometric functions are ubiquitous in mathematics. Due to lack of knowledge, however, trigonometric functions are usually applied in tricks or techniques when tackling problems that are otherwise difficult to solve. These methods exploit the properties of trigonometric functions and extend them to other concepts in mathematics. For instance, if you regard the sides of a triangle as merely positive real numbers, and by using some basic theorems, you can deduce statements of real numbers from their corresponding facts in trigonometry:

Trigonometry, the use of trigonometric functions in relation to triangles and geometry, appears where Euclidean geometry is in play, but that is not the case for most of higher mathematics. Applications such as engineering, (classical) physics, architecture, and surveying are based on Euclidean geometry in 2-3 dimensions, and there it can be necessary to use trigonometry of the kind taught in school. Spherical trigonometry also has its applications.

The end user of software that uses trigonometry may not ever have a need to calculate with trigonometric functions or solve triangles. It is mostly in physics and mechanical engineering that people have reason to constantly be using classical trigonometry.

First, there are basic applications such as: 

1) Determining the height of a building using right triangle trigonometry 

2) Finding the width of a river using the laws of sines and/or cosines 


CBSE Class 10 Maths Notes Chapter 9 Some Applications of Trigonometry Pdf free download is part of Class 10 Maths Notes for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 9 Some Applications of Trigonometry. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks. -applications-of-trigonometry-class-10-notes/

These video lectures have been prepared in Hindi exclusively for all English and Hindi medium state board and central board class 10th students to have the understanding of an enormous number of uses of trigonometry.

In this chapter, you will explore various real-world applications of trigonometry, such as finding the heights and distances of objects, determining angles of elevation and depression, and more. By using the concepts of trigonometry, you can solve practical problems related to heights and distances of objects, which can be beneficial in fields such as construction, architecture, and engineering.

This chapter has a total of 6 exercises, which cover various types of problems related to the applications of trigonometry. To help you understand the concepts and solve the problems effectively, we have provided step-by-step solutions for all the exercises. These solutions are designed in a way that is easy to understand and follow, and will help you gain confidence in applying trigonometry to real-world problems.

Overall, this chapter will help you develop a deeper understanding of trigonometry and its applications, and prepare you for more advanced topics in mathematics.

Students will learn the applications of trigonometry with real-life examples in a better way. With the help of geometrical figures, the important terms and problems are explained and the summary is given at the end of the chapter. In NCERT solutions for class 10 maths, you are provided with step by step procedure solutions of all the questions.

Applications of learning NCERT Solutions for Class 10 Maths Chapter 9 are finding the height and distance of different objects without measuring. By learning these concepts students will be able to answer all the questions based on trigonometry as well as it may help in writing class tests and board exams.

MATH 106 is a continuation of MATH 105. Trigonometric, logarithmic and exponential functions will be studied from the point of view of both algebra and calculus. The applications encountered in MATH 105 will reappear in problems involving these new functions. The basic ideas and theorems of calculus will be reviewed in detail, with more attention being paid to rigor. Four class meetings per week, one of which is a two-hour group-work day.

Basic concepts of limits, derivatives, anti-derivatives; applications, including max/min problems and related rates; the definite integral, simple applications; trigonometric functions; logarithms and exponential functions. Four class hours per week.

Our discussions will be guided by some of the following questions: To what extent is math ability an innate talent that you are either born with or not? How and why is variation in accomplishment in mathematics related to race, gender and socio-economic class? What mathematics should we teach in schools and how should those teachers be prepared? What is "math phobia," how does it develop and how can it be treated? How do attitudes towards math in the general public affect student learning? 2351a5e196

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