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Pair of Linear Equations Class 10 has total of seven exercises consists of 55 Problems. The problems will be based on concepts like linear equations in two variables, algebraic methods for solving linear equations, elimination method, cross-multiplication method Time and Work, Age, Boat Stream and equations reducible to a pair of linear equations these answers will give you ease in solving problems related to linear equations. Quadratic Equations Class 10 has total of four exercises consists of 24 Problems.
The Questions are related to find roots of quadratic equations and convert world problem into quadratic equations are easily scoring topics in board exams. Arithmetic Progressions Class 10 has total of four exercises consists of 49 Problems. Triangles Class 10 has total of six exercises consists of 64 Problems. The Questions are based on properties of triangles and 9 important theorems which are important in scoring good marks in CBSE Class 10 Exams. Coordinate Geometry Class 10 has total of four exercises consists of 33 Problems.
The Questions related to finding the distance between two points using their coordinates, Area of Triangle, Line divided in Ratio Section Formula are important models in class 10 Byjus Class 11 Maths Sets boards. Introduction to Trigonometry Class 10 has total of four exercises consists of 27 Problems.
The questions based on trigonometric ratios of specific angles, trigonometric identities and trigonometric ratios of complementary angles are the main topics you will learn in this chapter. Some Applications of Trigonometry Class 10 has one exercise consists of Byjus Class 10 Maths Question Paper Works 16 Problems. In this chapter, you will be studying about real life applications of trigonometry and questions are based on the practical applications of trigonometry.
Circle Class 10 has total of two exercises consists of 17 Problems. Understand concepts such as tangent, secant, number tangents from a point to a circle and more.
Constructions Class 10 has total of four exercises consists of 14 Problems. The Questions are based on drawing tangents and draw similar triangles are important topics. Areas Related to Circles Class 10 has total of three exercises consists of 35 Problems. Surface Areas and Volumes Class 10 has total of five exercises consists of 36 Problems. Trigonometry is one of the most historical subjects studied by different scholars throughout the world. As you have read in Chapter 8 that trigonometry was introduced because its requirement arose to astronomy.
Since then trigonometry is used to calculate the distance from the Earth to the stars and the planets. The most important use of trigonometry is to find out the height of the highest mountain in the world i.
Mount Everest which is named after Sir George Everest. It is also widely used in Geography and navigation. The knowledge of trigonometry enables us to construct maps, evaluate the position of an island concerning the longitudes and latitudes.
Historical Facts. Let us Turn to the History of Trigonometry. The trigonometry was used by surveyors for centuries. The highest mountain in the world was discovered during the survey in From a distance of over km, this peak was seen from 6 distinct stations.
This peak was named after Sir George Everest who had first used the theodolites. Theodolites are now exhibited in the museum of the surveys of Dehradun. Surveying instrument, which is used for measuring angles with a rotating telescope. Height and Distance. In this topic, you will study about the line of sight, angle of elevation, horizontal level, and angle of depression.
All these terms are explained in a detailed form along with some solved examples based on it. These solved examples based on the terms line of sight, angle of elevation and angle of depression will help you to understand the concepts thoroughly.
How to Calculate Height and Distance? Trigonometric ratios are used to find out the height and the distance of the object. For example: In figure 1, you can see a boy looking at the top of the lampost. AB is considered as the horizontal level. This level is stated as the line parallel to the ground passing through the viewer's eyes. AC is considered as the line of sight.
An inclinometer or Clinometer is a device usually used for measuring the angle of elevation and the angle of depression. Let us recall some trigonometric ratios which help to solve the questions based on class 10 maths Chapter 9. Trigonometry Ratios. The ratio of the sides of a right-angle triangle in terms of any of its acute angle triangle is known as the trigonometric ratio of that specific angle. Sine - The sine of an angle is stated as the ratio of the opposite side perpendicular side to that angle to the hypotenuse side.
Cosine- The cosine of an angle is stated as the ratio of the adjacent side to that angle to the hypotenuse side. Tangent - The tan of an angle is stated as the ratio of the opposite side perpendicular side to that angle to the side adjacent to that angle. Cosecant- It is the reciprocal of sine. Secant- It is the reciprocal of cosine. Cotangent- It is the reciprocal of tangent. The following trigonometry ratio table is used to calculate the questions based on applications of trigonometry class 10 NCERT solutions.
Sin C. Cos C. Tan C. Not defined. Cosc C. Sec C. Cot C. Now, you must have understood all the important topics and terms covered in each section of class 10 maths chapter 9. Perfect understanding of NCERT class 10 chapter 9 Introduction helps you to focus on some points such as the weightage of the chapter, important questions that can be asked in the examination, types of questions that can be appeared in your, etc.
This will help you to solve the exam more confidently and also ensures you that you can finish your exam within a time-duration. As, there is a proverb that says "Practice makes the men perfect".
It tells us the importance of practicing continuously in any subject to learn anything. Continuous practice is a must to learn any of the subjects. Practicing class 10 maths Chapter 9 NCERT solutions designed by Vedantu experts will bring accuracy and confidence in Byjus Maths Class 10th New you as they are designed according to the caliber of the students. It helps you to increase the speed of solving your problems and also bring more accuracy in you.
With practicing NCERT questions more and more, you will be aware of the types of questions that can be asked in the examination. This will help you to solve your exam paper more confidently. Practicing not merely enhances your conceptual understanding but also enhances your logical reasoning.
Most of the time the questions asked in the examination are repeated and solving the previous questions helps you to solve the questions speedily and accurately in the exam. The solutions are designed by the subject experts of Vedantu.
Chapter-wise questions and solutions are easily accessible. Special guidance for the students preparing for their board examinations. Exercise questions are easily accessible. The solutions are well-explained in the comprehensive method.
NCERT Solution for class 10 plays an important role in shaping the future of the students as the grades which the students will score will shape the future of the student. The NCERT solution prepared by the professionals of Vedantu is a one-stop solution for all your queries related to class 10 maths chapter 9. Detailed explanation and stepwise solutions Byjus App Class 7 Maths Map for each question prepared by the experts will help you to understand the concept in a better way.
The NCERT solutions prepared by the experts of Vedantu provides excellent material for the student to practice and make the learning process more effective.
Solutions are framed keeping in mind the age of the students. The content of the topic is pointed, brief, and straightforward. Complex questions are divided into small parts and well-explained to save the students from taking the unnecessary strain. Every question is explained with the relevant image to understand the question precisely. The solutions are designed under the latest syllabus and CBSE guidelines.
The aim to provide the solution is to help the students to solve each question given in the board exams in no time. Why are Some Applications of Trigonometry Important? Class 10 Chapter 9 some application of trigonometry is an important topic to discuss as it tells how trigonometry is used to find the height and distance of different objects such as the height of the building, the distance between the Earth and Planet and Stars, the height of the highest mountain Mount Everest, etc.
To solve the questions based on some applications of trigonometry class 10, it is necessary to remember trigonometry formulas, trigonometric relations, and values of some trigonometric angles. The following are the concepts covered in the 'height and distance' Some applications of trigonometry.
To measure the height of big towers or big mountains. To determine the distance of the shore from the sea. To find out the distance between two celestial bodies. This chapter has a weightage of 12 marks in class 10 Maths Cbse board exams. One question can be expected from this chapter. The questions will be allocated with 1 mark, 2 marks, 3 marks or 4 marks. Discussion about the sections, exercise, and type of questions given in the exercise.
The exercise aims to test your knowledge and how deeply you understood each formula and concept of the topic. The numerical questions given in this chapter are based on some applications of trigonometry.
To make you understand the topic and related concept, solved numerical problems are also given. Stepwise solutions are given for each of the solved examples.
It will help you to understand which concept and formula will be used to solve the given questions accurately. This section gives an introduction to some applications of trigonometry.
It tells you how trigonometry is used by different scholars throughout the world and its uses in different fields. It also tells you the way trigonometry is used to find the height and distance of different objects without actually measuring them. In this section, some important terms such as a line of sight, horizontal level, angle of elevation, and angle of depression are discussed.
All these important terms are discussed along with the solved examples based on them which will clear your concepts thoroughly and also helps you to solve the questions given in the exercise. This exercise includes a total of 16 questions. Question No. Given Information. To calculate. The angle of elevation and the length of the rope are given.
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