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Notes for Ch 10 Circles| Class 9th Maths Get Free NCERT Solutions for Class 10 Maths Chapter 9 Ex PDF. Some Applications of Trigonometry Class 10 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Exercise Class 10 Maths NCERT Solutions were prepared according to CBSE marking scheme and myboat289 boatplansted Reading Time: 7 mins. NCERT Solutions for class 10 Maths Chapter 9 Some applications of Trigonometry Exercise in English Medium and Prashnavali in Hindi Medium, free to download or use online without downloading. All the contents are updated for new academic session Estimated Reading Time: 4 mins. Nov 03, �� This chapter has a weightage of 12 marks in class 10 Maths Cbse (board) exams. One question can be expected from this chapter. Class 10 Maths CBSE paper is divided into 4 parts and each question comes with different marks. The questions will Estimated Reading Time: 10 mins.
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All exercise questions, examples and optional exercise questions have been solved with video of each and every question. If you want to study the chapter for the first time, or revise - Click on Concept Wise. First the concept is explained, and then the questions are explained, from easy to difficult. When you click on a topic link or an exercise link, the first question will open.

For other questions, there is a list with arrows which has all the questions. Click on any question or topic from that arrowed list to open it. On signing up you are confirming that you have read and agree to Terms of Service. And how to remember all this Chapter 9 Some Applications of Trigonometry - Finding height and distances, knowing what is angle of depression, angle of elevation Chapter 10 Circles - Tangent to circle, Number of tangents from a point of the circle, Length of tangent.

Chapter 11 Constructions - Using the concepts we have studied before, first we learn how to divide a line segment in a particular ratio, then we study how to draw a triangle similar to the triangle where Scale Factor is greater than 1, and less than 1 and then we learn how to create a tangent to the circle from a point outside it. Justification of all the constructions is also explained.

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 Ncert Solutions Of Class 10th Maths Chapter 3 Exercise 3.6 English 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 Ncert Solutions Of Class 10th Maths Exercise 12.2 Speed 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.

The distance of the object is also considered as the base of the right angle triangle drawn through the height of the object and the line of sight.

The length of the horizontal level is also known as the distance of the object it forms the base of the triangle. Line of sight is considered as a hypotenuse of the right-angle triangle. Hypotenuse side is calculated using Pythagorean Theorem if the height and distance of the object are given. According to the guidelines set by CBSE, all answers are written. All the contents are updated for new academic session So, UP Board Students also take the benefits of these solutions.

Join the discussion forum to ask your doubts and discuss your education queries. Trigonometry has wide application in solving problems related to real life situations. One of the best methods for the indirect measurement of length or height involve trigonometric rations. Trigonometry is extensively used in geography, navigation, astronomy, etc. The knowledge of trigonometry is used to construct maps, determine the position of different islands in relation to the longitudes and latitudes.

Horizontal Ray: A ray parallel to the surface of the Earth emerging from the eye of an observer is called a horizontal ray. Line of Sight: The line of sight or ray of vision is the line drawn from the eye of an observer to the point in the object viewed by the observer. Angle of Elevation: The angle of elevation of the point viewed is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level. Angle of Depression: The angle of depression of a point on the object being viewed is the angle formed by the Ncert Book For 10th Class Maths Java line of sight with the horizontal when the point is below the horizontal level.

What is the angle of elevation of the sun? From the top of a 7 m high building, the angle of elevation of the top of a tower is 60 and the angel of depression of its foot is

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