Applications of Trigonometry Class 10 MCQ: Practice for Perfection

Class 10 Maths is a crucial subject that builds the mathematical concepts you will need to proceed to the next level of education. All the chapters are important to study for the development of your conceptual knowledge. The same stands true for Chapter 9 Application of Trigonometry. Let us find out the topics covered in this chapter.

• Introduction to the Concept of Trigonometry

• Application of Trigonometry

• Measuring height and distance by using trigonometric concepts

The last topic of this chapter is similar to the mensuration topics taught. Students will learn how to use these concepts and principles of trigonometry to find out the distance and heights of objects. Studying this chapter is very important for those who want to pursue science, engineering, technology and other courses at the advanced level of education. Hence, get the Class 10 Maths Applications of Trigonometry MCQ with solution here and start preparing this chapter well.

MCQs with Answers Class 10 Maths Chapter 9 Applications of Trigonometry 

1. The height of a tower is 50 meters. An observer standing 20 meters away from the tower observes the top of the tower at an angle of 60 degrees. What is the actual height of the tower?

A) 25 meters

B) 50.43 meters

C) 36.64 meters

D) 100 meters

Answer: C) 36.64 meters

2. A 10-meter ladder is placed against a wall, with its foot 6 meters away from the wall. What is the angle of inclination of the ladder with the ground?

A) 30 degrees

B) 45 degrees

C) 60 degrees

D) 90 degrees

Answer: C) 60 degrees

3. In a triangle ABC, if $\sin A = \dfrac{3}{5}$ and $\cos B = \dfrac{4}{5}$, then what is the value of tan C?

A) $\dfrac{3}{4}$

B) $\dfrac{4}{3}$

C) $\dfrac{3}{5}$

D) $\dfrac{4}{5}$

Answer: B) $\dfrac{4}{3}$

4. A flagpole 15 meters high is casting a shadow that has a length of 9 meters. Find the angle of elevation of the sun?

A) 30 degrees

B) 45 degrees

C) 60 degrees

D) 75 degrees

Answer: C) 60 degrees

5. In a triangle ABC, if $\tan A = \dfrac{1}{2}$ and $\sin C = \dfrac{3}{5}$, then what is the value of $\cos B$?

A) $\dfrac{2}{3}$

B) $\dfrac{3}{5}$

C) $\dfrac{4}{5}$

D) $\dfrac{5}{4}$

Answer: C) $\dfrac{4}{5}$

6. A man standing on the top of a building of height 20 meters observes the angle of depression of a car on the road to be 45 degrees. What is the distance between the car and the foot of the building?

A) 20 meters

B) 25 meters

C) 30 meters

D) 40 meters

Answer: A) 20 meters

7. In a triangle ABC, if $\tan A = \dfrac{4}{3}$ and $\cos C = \dfrac{5}{13}$, then what is the value of $\sin B$?

A) $\dfrac{3}{5}$

B) $\dfrac{4}{5}$

C) $\dfrac{5}{13}$

D) $\dfrac{12}{13}$

Answer: B) $\dfrac{4}{5}$

8. A person standing on the bank of a river observes the angle of elevation of the top of a tree on the opposite bank to be 60 degrees. He moves 20 meters away from the tree and observes the angle of elevation to be 30 degrees. What is the height of the tree?

A) 10 meters

B) 15 meters

C) 20 meters

D) 25 meters

Answer: C) 20 meters

9. In a triangle ABC, if $\sin A = \dfrac{3}{5}$ and $\cos B = \dfrac{5}{13}$, then what is the value of cot C?

A) $\dfrac{13}{3}$

B) $\dfrac{3}{13}$

C) $\dfrac{5}{3}$

D) $\dfrac{3}{5}$

Answer: B) $\dfrac{3}{13}$

10. The angle of depression of a boat from the top of a lighthouse is 45 degrees. If the height of the lighthouse is 50 meters, then what is the distance of the boat from the lighthouse?

A) 25 meters

B) 50 meters

C) 75 meters

D) 100 meters

Answer: C) 75 meters

11. In a triangle ABC, if $\tan A = \dfrac{5}{12}$ and $\cos B = \dfrac{12}{13}$, then what is the value of $\cot C$?

A) $\dfrac{5}{13}$

B) $\dfrac{13}{5}$

C) $\dfrac{12}{5}$

D) $\dfrac{5}{12}$

Answer: C) $\dfrac{12}{5}$

12. The angle of elevation of the top of a tower from a point on the ground is 30 degrees. When the observer moves 20 meters closer to the tower, the angle of elevation becomes 45 degrees. What is the height of the tower?

A) 10 meters

B) 20 meters

C) 30 meters

D) 40 meters

Answer: B) 20 meters

13. In a triangle ABC, if $\sin A = \dfrac{4}{5}$ and $\sin B = \dfrac{3}{5}$, then what is the value of $\cos C$?

A) $\dfrac{1}{5}$

B) $\dfrac{3}{5}$

C) $\dfrac{4}{5}$

D) $\dfrac{5}{4}$

Answer: A) $\dfrac{1}{5}$

14. The angle of depression of a car from the top of a hill is 45 degrees. If the height of the hill is 50 meters, then what is the distance of the car from the foot of the hill?

A) 25 meters

B) 50 meters

C) 75 meters

D) 100 meters

Answer: C) 75 meters

15. In a triangle ABC, if $\sin A = \dfrac{12}{13}$ and $\cos B = \dfrac{5}{13}$, then what is the value of $\tan C$?

A) $\dfrac{12}{5}$

B) $\dfrac{5}{12}$

C) $\dfrac{5}{13}$

D) $\dfrac{13}{5}$

Answer: A) $\dfrac{12}{5}$

Advantages of Solving Class 10 Maths Chapter 9 Applications of Trigonometry MCQs

There are various learning methods used in Class 10 Maths to help students understand and use advanced concepts. They learn to apply the formulas derived in this chapter and make their preparation better. Let us find out how solving trigonometry MCQs can help you with your preparation for this chapter.

Understanding the Derivation of Formulas

The textual content of a chapter in Class 10 Maths is compiled to assist students to understand how the concepts are explained and used. Based on the explanation, formulas are derived and used to solve problems. Students get a good interpretation of formulas and learn how to use them to solve MCQs. They can refer to the solutions to find out the proper use of formulas.

Understanding Stepwise Solving Methods

By referring to the Class 10 Maths Applications of Trigonometry MCQ with solution, you can clearly understand how the fundamental questions are formulated. It will also help you understand how the solutions to these fundamental questions are derived from the formulas taught. The stepwise approach to solving MCQs is designed by the experts and you must follow them to increase your answering skills. This approach will help you increase your efficiency and reduce errors.

Time Efficiency

MCQs are a particular type of question format that checks the efficiency of a student. He will formulate answers to the given questions within a limited time period and check his time management skills. You can solve the questions accurately only when you have the proper knowledge of the formulas and their applications. Hence, check your time efficiency level by solving these MCQs.

Test your Preparation

Once you are done with the chapter, revise it and solve all the textbook exercises. When you are confident that you have understood the application of trigonometric formulas, solve the MCQs and check your preparation level. Find out the gaps in your preparation by comparing your answers to the solutions given. Work on these gaps and make your preparation better to score more in the exams.

Understanding Choices

Practising solving Trigonometry MCQs will help you focus on the choices given. You will be able to design a strategy to solve MCQs easily. During the progress of your solution, you can easily find out whether you are going on the right track or not. Hence, your accuracy level will automatically increase by learning to understand the choices given.

Download and Solve MCQ in Applications of Trigonometry Class 10 Maths PDF

Get the list of MCQs of CBSE Class 10 Chapter 9 Application of Trigonometry along with solutions. Use these questions to test your knowledge and answering skills at home. Find out where you need to work more and make your preparation better to ace the school and board exams.