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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. We have to calculate the height of the tower.
The distance of the object and angle of elevation are given. We have to calculate the height of the tree. The angle of elevation and height of the two slides are given. We need to calculate the length of the slide. Height of the object and the distance of the object are given. The angle of depression and height of the observer from the ground are given. We have to calculate the distance between two objects.
The angle of elevation from the ground to the bottom of the tower and angle of elevation from the ground to the top of the tower are given. Length of the statue, angle of elevation to the top of the statue and angle of elevation to the top of the pedestal are given. We have to calculate the height of the pedestal. The angle of elevation of the top of the building from the foot of the tower, Angle of elevation of the top of the tower from the foot of the building and height of the tower are given.
We have to calculate the height of the building. Angles of elevations of the top of the two towers and distance between the two poles are given. We have to calculate the height of the tower and the distance of the point from the poles. One angle of elevation from the bank of the river and another angle of elevation 20m away from the bank of the river are given. To calculate: Height of the tower, width of the canal.
The angle of elevation, angle of depression and the length of the top of the building are given. The angle of depression of two ships and the height of lighthouse from the sea level is given. We have to calculate the distance between two ships. The angle of elevation from one point to the top of the tower and angle of elevation from another point to the top of the tower are given. We have to calculate the height of the tower and width of the canal. We have to calculate the time taken by the car to reach the foot of the tower.
Angles of elevation from one point and angle of elevation from another point are complementary and also the distance between two points from where the angle of elevation is formed is 4 m and 9 m.
To prove: Height of the tower 6 m. The summary at the end of the chapter details a brief explanation of all the topics you covered in this chapter. Important Terms to Remember in Height and Distance. Line of Sight - It is a line that is drawn from the eye of an observer to the point on the object viewed by the observer. The Angle of Elevation - It is defined as an angle that is formed between the horizontal line and line of sight.
If the line of sight lies upward from the horizontal line, then the angle formed will be termed as an angle of elevation. Let us take another situation when a boy is standing on the ground and he is looking at the object from the top of the building.
The line joining the eye of the man with the top of the building is known as the line of sight and the angle drawn by the line of sight with the horizontal line is known as angle of elevation.
This angle is known as the angle of elevation. The Angle of Depression - It is defined as an angle drawn between the horizontal line and line of sight. If the line of sight lies downward from the horizontal line, then the angle formed will be termed as an angle of depression.
Let us take a situation when a boy is standing at some height concerning the object he is looking at. In this case, the line joining the eye of the man with the bottom of the building is known as the line of sight and the angle drawn by the line of sight with the horizontal line is known as angle of depression.
Note: Angle of elevation is always equal to the angle of depression. The important Point to Remember. Make sure you finish each and every topic in the most effective and efficient manner. Thus, Area of Triangle has been deleted for the academic year Statement and simple problems on division algorithm for polynomials with real coefficients, Situational problems based on equations reducible to quadratic equations, Cross multiplication method and Application in solving daily life problems based on sum to n terms have been deleted in Class 10 Maths Algebra.
If you have any queries regarding this article, kindly drop your questions in the comment section below and we will get back to you. Support: support embibe. General: info embibe. What is the syllabus of Class 10 Maths? Unit 1 � Number System. Unit 2 � Algebra. Unit 3 � Coordinate Geometry. Unit 4 � Geometry. Unit 5 � Trigonometry.
Unit 6 � Mensuration. Students will learn some theoretical aspects of probability and apply them to determine impossible events, certain and uncertain events. Conclusively, the concepts of probability in the chapter will allow students to learn how to determine the outcomes of events through formulas.
Download � Algebra Formulas for Class Experts and fellow students constantly keep up with the Embibe Ask portal to check questions and provide answers in a detailed and swift manner. Furthermore, you can also check the portal to find interesting questions posted by other students to improve your knowledge. Ask An Academic Question Now. After going through a chapter, it is important to practice questions and attempt mock exams to get better at Maths. Embibe not only offers you books and solutions to practice and study but also other resources like practice questions and mock tests.
Both practice questions and mock tests are available for free on Embibe so that you can improve your knowledge and test scores.
The Maths Class 10 solutions provided here will allow you to easily understand problems for all the chapters. When you study Mathematics, it is important to keep practicing all chapters so that you do not forget the formulas and rules for solving problems. We hope this article helps you. If you have any questions, feel free to ask in the comment box below. We will get back to you at the earliest. Stay tuned to embibe. Support: support embibe. General: info embibe. Class 10 Practice Questions.
Unit 1 � Number System. Unit 2 � Algebra.
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