## NCERT Solutions for Maths Chapter 9 Some Applications of Trigonometry Class 10

NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry 2024-25

## FAQs on NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry 2024-25

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.

In ΔABE,

x/a = Tan 30°

x/a = 1/3

x = a/3

In ΔCDE

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.