**NCERT Solutions for Class 10 Maths Chapter 9:** *Some Applications Of Trigonometry* is an important chapter as per the NCERT Class 10 Maths syllabus which includes several exercise problems. Students who are searching for solutions to the exercise problems have come to the right place. We bring you the detailed CBSE NCERT Solutions for Class 10 Maths Chapter 9 solved in a step-by-step approach to help you have a better understanding. The NCERT Class 10 exercise solutions provided here are prepared by the top academic experts at Embibe. The solutions provided are as per the NCERT Class Maths textbook with solutions to all the exercises.

We have also provided you with the CBSE NCERT Solutions for Class 10 Maths Chapter 9 PDF which you can download and study offline. These solutions will guide you through the questions which will help you understand the concepts and problem-solving method. Securing good marks in the board exams is the result of continuous and consistent efforts you put in during your studies. Hence, refer to these solutions and make sure that you are a step ahead in your preparation for the board exams. Read on to get the complete details.

**PRACTICE IMPORTANT QUESTIONS ON APPLICATIONS OF TRIGONOMETRY HERE**

## NCERT Solutions For Class 10 Maths Chapter 9: Some Applications Of Trigonometry

Before getting into the details of CBSE NCERT Solutions For Class 10 Maths Chapter 9, let’s have look at the topics in the chapter from the table below:

Section Name | Topic Name |

9.1 | Introduction |

9.2 | Heights and Distance |

9.3 | Summary |

### NCERT Solutions For Class 10 Maths Chapter 9: Some Applications Of Trigonometry (Solutions PDF)

You will find the solutions for 10th Maths Chapter 9 exercises below. Also, you can download the **CBSE Class 10 Maths Chapter 9 Solutions PDF** from the link provided below so that you can refer to the solutions offline*.*

**Download NCERT Solutions PDF For 10th Maths Chapter 9 Here**

### CBSE Class 10 Maths Chapter 9: Summary

Previously, we have studied that trigonometry is a branch of mathematics that deals with the relationships between sides and angles of triangles. We know how trigonometry plays a key role in solving numerous problems that exist in the real world. On one side, trigonometry is extensively used by astronomers for finding the distance between the heavenly bodies like the sun, the moon, and the stars on the other side it has great applications in preparing maps, geography, engineering, and navigation.

In this chapter, we will learn the use of trigonometry in the measurement of heights and distances which cannot be measured directly, i.e., finding the height of a tower, the distance between two objects, etc. Also, most probably for the first time, you will be introduced to a few important terms like Angle of Elevation, Angle of Depression, etc.

In this chapter, you will learn about some interesting ways to implement trigonometry and solve real-life problems. This chapter has only one exercise. The questions are based on real-life applications of trigonometry. You will have to visualize and mathematically represent it to solve the problems. Questions from this chapter are frequently asked in various competitive examinations. With little understanding of various terms used and basics of trigonometry, one can easily solve the problems related to this chapter.

NCERT Solutions for Class 10 Maths Chapter 8 | NCERT Solutions for Class 10 Maths Chapter 10 |

### Key Features Of Embibe’s NCERT Solutions For Class 10 Maths Chapter 9

Check the key features of **NCERT solutions** by Embibe below:

- For the ease of students, the academic experts and teachers of Embibe have compiled the solutions in a simple and lucid language.
- All the answers to questions and exercises in NCERT 10th Maths textbook are included in these solutions.
- With the help of Embibe’s NCERT solutions for the chapter ‘Some Applications Of Trigonometry’, you can easily learn the real-life applications of trigonometry and the concepts of the angle of deviation, angle of elevation, angle of depression, and line of sight.
- Students can become familiar with different types of questions asked in the exams by following NCERT solutions by Embibe.
- Embibe’s NCERT solutions are very useful for completing homework and assignments.
- The best feature of NCERT solutions by Embibe is that they are available for free.

### FAQs On NCERT Solutions For Class 10 Maths Chapter 9: **Some Applications Of Trigonometry**

Some of the frequently asked questions are given below:

**Q1. If the height of the tower is doubled, Calculate the angle of elevation of the top of the tower if the height of the tower is doubled. The angle of elevation of the top of a tower is given as 30°.**

A. The angle of elevation of the top of the tower will be less than 60°

**Q2. Find the angle of elevation of the Sun’s altitude if the length of the shadow of a vertical pole is equal to √3 times its height.**

A. The angle of elevation of the Sun’s altitude is 30°.

**Q3. A ladder 15 meters long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall will be**

**Q4. Calculate the height of a wall if a ladder makes an angle of 60° with it. The given ladder is 15 meters long and just reaches the top of the wall.**

A. The height of the wall is 7.5 m.

**Q5. Calculate the height of a plane above the ground if it makes an angle of elevation of 60° and is at a distance of 12 km from the point of observation.**

A. The height of a plane above the ground is 6√3 m.

**Q6. Determine the height of a rock if the angles of elevation of the top of a rock from the top and bottom of a tower of height 100 m are 30° and 45°, respectively.**

A. The height of a rock is 50(3 + √3) m.

**Q7. Calculate the angle of elevation of the top of a tower of height 22 meters from the eye of an observer if the given height of observer is 1.5 meters**

A. The angle of elevation of the top of a tower is 45°.

**Q8. What is the angle of elevation of a cloud whose reflection is observed by a man who is standing on a platform 3 meters above the surface of a lake?**

A. The angle of elevation of the cloud is not equal to the angle of depression of its reflection.

**Q9. When a man observing a tower moves 20 meters towards the tower, the angle of elevation of the top increases by 15°. Determine the height of a tower if the angle of elevation of the top of a tower from a certain point is given as 30°.**

A. The height of the tower is 10 (√3 + 1).

### Practice 10th Maths Questions With Embibe

We have now provided you with all CBSE NCERT Solutions For Class 10 Maths Chapter 9. Refer to these solutions as you solve the problems to have a better understanding. You can also take free **Applications of Trigonometry mock test** on Embibe. This mock test will definitely help you in your preparation for the final exams.

We also advise 10th-grade students to make use of other resources offered by Embibe to boost their scores. Students can solve **CBSE Class 10 Practice Questions** or take **Class 10 Mock Tests** on Embibe. They can also download the **NCERT Class 10 Textbook** for all Class 10 subjects at Embibe. All these resources are available for free and can be accessed without any sign-up formalities.

**Download NCERT Books PDF For Class 10 From Here**

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