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Math, Class | ����� Free PDF download of RD Sharma Class 10 Solutions Chapter 9 - Arithmetic Progressions Exercise solved by Expert Mathematics Teachers on myboat349 boatplans All Chapter 9 - Arithmetic Progressions Ex Questions with Solutions for RD Sharma to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance . NCERT Solutions for Class 10 Maths pdf provided here covers all the chapters and Exercises of Class 10 Maths. These solutions are prepared by the expert teachers who are having years of experience in teaching Maths for Class 10 students. Download chapter-wise NCERT solutions for class 10 maths PDFfor free to prepare for - 21 Board Exams. Vedantu Class 9 & 10 is an exclusive online tutoring channel for Class 9 and Class 10 Students. The channel also aims at a solid base for NTSE, Vedantu Class 10 Maths Ch 6 Work NSO, PRMO and other competitive examinations at.
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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. 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.

The content, which is short and self-explanatory, and well organized. To enhance the understanding of the topic, some of the answers include relevant infographics and images. During the revision of the test, it is useful and acts as a note. For you to solve the maximum questions and to get the chapter's command, solutions are kept simple. In chapter Linear Equations in two variables, these NCERT Solutions are written specifically so that students do not face any difficulties while solving any questions.

In the form of solutions, it covers the whole syllabus and theory. Chapter-wise solutions for different subjects are also available for the convenience of students. Download the Vedantu app right now and use the study material on the go.

Given Information To calculate 1. 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 3. The angle of elevation and height of the two slides are given We need to calculate the length of the slide 4.

The distance of the object and angle of elevation are given We have to calculate the height of the tower. Height of the object and the distance of the object are given We have to calculate the height of the tower. The angle of depression and height of the observer from the ground are given We have to calculate the distance between two objects 7. 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 We have to calculate the height of the tower.

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 9. 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.

Diameter - It is a line segment having both the endpoints on the circle and is the largest chord of the circle. Radius - It is the line segment connecting the centre of a circle to any point on the circle itself. Secant - It is a straight line which cuts the circle at two points. It is also known as an extended chord. Tangent - It is a straight line touching the circle at a single point. A line segment connecting the centre of a circle to any point on the circle itself is known as the radius of the circle.

The radius is denoted by R or r. Diameter is defined as the longest chord of the circle. It is twice the length of radius i. The radius of the circle can be derived from the diameter of the circle.

All the important point related to the circle are shown below in the diagram. The important basic properties of the circle are as follows:. The outer line of a circle which is circumference is at equidistant from the centre. The diameter of the circle divides the circle into two equal parts. Students of Class 10 can download these solutions at any time as per their convenience for self-study purpose. These solutions are nothing but a compilation of all the answers to the questions of the textbook exercises.

Relevant diagrams, graphs, illustrations are provided along with the answers wherever required.

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