NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry - Free PDF
Chapter 9 of the class 10 maths syllabus is on Applications of Trigonometry. It is an important chapter that is covered in class 10 and is divided into 3 major sections. We recommend that students take time to read through these topics very carefully so that they do not miss out on any important information that is provided in our solutions. Our expert teachers have invested their time in curating these exam-appropriate solutions to best suit the needs of the students to aid them in scoring well in their examinations.
The following table has been provided to give the students a glimpse at the subtopics under the chapter on Applications of Trigonometry.
Importance of Applications of Trigonometry
The branch of mathematics that deals with relations of the sides and angles of triangles and the related functions of angles of triangles is known as Trigonometry.
The application of trigonometry is an important area that students in class 10 should concentrate on. These applications will not just help in solving sums based on trigonometry in exams but will also aid in real-world calculations and measurements.
The NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry gives a detailed explanation of all the questions given in the NCERT textbook. NCERT Solutions help you to score high marks in 10th CBSE board exams as well as increase your confidence level as all the trigonometry related concepts are well-explained in a structured way. The Vedantu expert teachers have prepared the NCERT Solutions Class 10 Maths Chapter 9 some applications of trigonometry free pdfs as per the NCERT syllabus and guidelines given by the CBSE board. NCERT Solution is always beneficial in your exam preparation and revision. Download NCERT Solutions for Class 10 Maths from Vedantu, which are curated by master teachers. Also, you can revise and download Class 10 Science Solutions for Exam 2019-2020, using the updated CBSE textbook solutions provided by us.
Key Features for NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry
The key features of Class 10 Maths NCERT Solutions for Ch-9 Some Applications of Trigonometry are listed below.
Provides a comprehensive explanation of the applications of trigonometry
Available as free downloadable PDF files
Easy to access on the Vedantu mobile app and website
Step-by-step solutions for all sums
Supporting explanations for self-study
Solved by experts as per the updated CBSE syllabus and guidelines
NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry for CBSE Term 2
FAQs on NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry for CBSE Term 2
1. How downloading “NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry" PDF from Vedantu can help you to score better grades in exams?
Vedantu executed well-designed and reviewed applications of trigonometry class 10 ncert solutions which include the latest guidelines as recommended by CBSE board. The solutions are easily accessible from the Vedantiu online learning portal. It can be easily navigated as Vedantu retains a user-friendly network. The detailed solution of all the questions asked in the NCERT book will help you to understand the basic concepts of some applications of trigonometry class 10 thoroughly. Along with the NCERT solutions, the experts of Vedantu also provide various tips and techniques to solve the questions in the exam. Sign in to Vedantu and get access to the ncert solutions for class 10 maths chapter 9 some applications of trigonometry -Free pdf and you can download the updated solution of all the exercises given in the chapter.
2. What is the importance of trigonometry applications in real-life?
The application of trigonometry may not be directly used in solving practical issues but used in distinct fields. For example, trigonometry is used in developing computer music as you must be aware of the fact that sound travels in the form of waves and this wave pattern using sine and cosine functions helps to develop computer music. The following are some of the applications where the concepts of trigonometry and its functions are applicable.
It is used to measure the height and distance of a building or a mountain
It is used in the Aviation sector
It is used in criminology
It is used in Navigation
It is used in creating maps
It is used in satellite systems
The basic trigonometric functions such as sine and cosine are used to determine the sound and light waves.
It is used in oceanography to formulate the height of waves and tides in the ocean.
3. The distance from where the building can be viewed is 90ft from its base and the angle of elevation to the top of the building is 35°. Calculate the height of the building.
Given: Distance from where the building can be viewed is 90ft from its base and angle of elevation to the top of the building is stated as 35°
To calculate the height of the building, we will use the following trigonometry formula
Tan 35° = Opposite Side/ Adjacent Side
Tan 35° = H/90
H = 90 x Tan 35°
H = 90 x 0.7002
H = 63.018 feet
Hence, the height of the building is 63.018 feet.
4. From a 60 meter high tower, the angle of depression of the top and bottom of a house are ‘a and b’ respectively. Calculate the value of x, if the height of the house is [60 sin (β − α)]/ x.
H = d tan β and H- h = d tan α
60/60-h = tan β – tan α
h = [60 tan α – 60 tan β] / [tan β]
h= [60 sin (β – α)/ [(cos α cos β)] [(sin α sin β)]
x = cos α cos β
5. The top of the two different towers of height x and y, standing on the ground level subtended angle of 30° and 60° respectively at the center of the line joining their feet. Calculate x: y.
x/a = Tan 30°
x/a = 1/3
x = a/3
y/a = Tan 60°
y/a = 3 → y = a x 3
x/a ÷ y/a = a/3÷ a3
x/a × y/a = a/3 × 1/a×3
x/y = 1/3
6. What are the main points to study in Class 10 Maths NCERT Chapter 9?
The main points to study in Class 10 Maths NCERT Chapter 9 include:
Fundamental Basics Of Trigonometry Applications
The History Behind Trigonometry
Concepts On Height And Distance
The Study About The Line Of Sight
Angle Of Elevation, Horizontal Level
Angle Of Depression
The Calculation Methods For Heights And Distance
The Trigonometry Ratios And Angle Tables For The Ratios
A clear explanation for the solutions of the same can be found on the Vedantu website.
7. How many exercises are there in Chapter 9 of Class 10 Maths?
Chapter 9 of Class 10 Maths consists of one exercise that is Exercise 9.1 at the end of this chapter. This section of the chapter has 16 questions that are covered in the first two parts. The questions asked in the exercise are based on the basic concepts of trigonometry and its application, height distance etc. Following this, is a summary of the chapter.
8. How can I score full marks in Class 10 Chapter 9 Maths?
Maths is all about practice. If you practice your exercises regularly you will gradually lean towards perfection and accuracy. It will also increase your speed and hence you will be able to finish your paper on time, attempting all the questions, thereby scoring full marks in this subject. For this, you can refer to the Vedantu website or download the Vedantu app which will provide you with the best solutions at free of cost and help you fulfil your aim of scoring top grades in Maths.
9. Where can I get the best solutions for Maths chapter 9?
You can find the best solutions for NCERT Class 10 Maths Chapter 9 on Vedantu. Here, you will find the best possible trigonometry explanations and their solutions for respective exercises. These are provided in PDF format, which is totally free to download and you can study from it even in offline mode. For this:
Visit the page NCERT Solutions for Class 10 Maths Chapter 9.
Click on the download PDF option.
Once you’re redirected to a page you will be able to download it.
10. What is the advantage of using Vedantu?
Vedantu outshines all other learning apps and websites because it has the best team of experts who analyse and form the best answers for the students to learn and practice from. This has a complete chapter-wise explanation and their respective solutions. This also has options for parents to take weekly homely tests from Vedantu so that they can keep a check on their wards.