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NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex Byjus Learning App For Class 1 Maths On
These 9th class math notes notes contain theory of each and every chapter, solutions to every exercise and review exercises which are great for reviewing giant exercises. It is a complete package of solutions to problems of your really tough book. You have these advantages of browsing notes from our website. Good quality notes, whole course notes at one place, fast loading website, friendly interface. Unit 1 � Matrices and Determinants. Overview Exercise Exercise Exercise Exercise Exercise Exercise Review Exercise. Unit 2 � Real and Complex Numbers. Math ch 9. Study. Flashcards.� Since clock 12 arithmetic under the operation of addition contains only the elements {1,2,3,4,5,6,7,8,9,10,11,12}, the mathematical system is. closed. (a+b)+c=a+(b+c). Associative Property of Addition. A mathematical system is a commutative group if all five of the following conditions hold. 1. The set of elements is closed under the given operation. 2. An identity element exists for the set under the given operation. 3. Every element in the set has an inverse under the given operation. Class 9 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free. NCERT solutions for Class 9 Maths Surface Areas and Volumes Download as PDF. NCERT Solutions for Class 9 Mathematics Surface Areas and Volumes. Assume unless stated otherwise. 1. The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder. Ans.� The students of a Vidyalayawere asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height cm.

Exercise 9. You can download these solutions in PDF from the above link. A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground.

The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree. You can also download the free PDF of Ex 9. A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1. What should be the length of the slide in each case? Find the height of the tower. A kite is flying at a height of 60 m above the ground.

The string attached to the kite is temporarily tied to a point on the ground. Find the length of the string, assuming that there is no slack in the string. Find the distance he walked towards the building. A statue, 1. Find the height of the pedestal.

If the tower is 50 m high, find the height of the building. Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. Find the height of the poles and the distance of the point from the poles. A TV tower stands vertically on a bank of a canal. Find the height of the tower and the width of the CD and 20 m from pole AB. Determine the height of the tower.

If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. Find the distance travelled by the balloon during the interval. A straight highway leads to the foot of a tower. Find the time taken by the car to reach the foot of the tower from this point. The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary.

Prove that the height of the tower is 6 m. The height or length of an object or the distance between two distinct objects can be determined with the help of trigonometric ratios. The observer is looking at the top of the pole. The angle BAC, so formed by the line of sight with the horizontal, is called the angle of elevation of the top of the pole from the eye of an observer. In the above figure, the line AC, is the line of sight as the observer is looking downwards from the top of the building at A towards the object at C.

From the above figure, if we want to find the height CD of the pole without actually measuring it, we need the following information: i Distance ED of the observer from the pole.

Assuming that the above three conditions are known we can determine the height of the pole in the following way. By adding AE to BC, you will get the height of the pole.

Some Applications of Trigonometry Class 10 Ex 9. Solution: Ex 9. Angle of Depression In the above figure, the line AC, is the line of sight as the observer is looking downwards from the top of the building at A towards the object at C.

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