Class 10 Math Some Applications of Trigonometry MCQ Test: The Best Practice Quiz

Class 10 Math Some Applications of Trigonometry MCQ Test: Strengthen your skills with free online multiple-choice questions for CBSE Class 10 Math Chapter 9. Explore practical applications of trigonometry, including height, distance, and angle problems. Ideal for CBSE exam preparation and competitive tests.

Some Applications of Trigonometry MCQ Test Quiz

10th Math MCQ Chapters for Quiz

You can not only check your knowledge about for “Some Applications of Trigonometry MCQ Test” but also all remaining chapters multiple choice questions.

Chapter 1 Real Numbers Multiple Choice Question Test
Chapter 2 Polynomials Multiple Choice Question Test
Chapter 3 Pair of Linear Equations in Two Variables Multiple Choice Question Test
Chapter 4 Quadratic Equations Multiple Choice Question Test
Chapter 5 Arithmetic Progressions Multiple Choice Question Test
Chapter 6 Triangles Multiple Choice Question Test
Chapter 7 Coordinate Geometry Multiple Choice Question Test
Chapter 8 Introduction to Trigonometry Multiple Choice Question Test
Chapter 9 Some Applications of Trigonometry Multiple Choice Question Test
Chapter 10 Circles Multiple Choice Question Test
Chapter 11 Areas Related to Circles Multiple Choice Question Test
Chapter 12 Surface Areas and Volumes Multiple Choice Question Test
Chapter 13 Statistics Multiple Choice Question Test
Chapter 14 Probability Multiple Choice Question Test

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About Some Applications of Trigonometry MCQ Test

Chapter 9 of the CBSE Class 10 Math curriculum, titled “Some Applications of Trigonometry,” delves into practical applications of trigonometric concepts. This chapter focuses on how trigonometry can be used to solve real-life problems involving heights, distances, and angles. The free MCQ quiz provided in this chapter will help students apply their understanding of trigonometry to practical scenarios and prepare effectively for their CBSE examinations.

Key Concepts Covered:

1. Height and Distance Problems:
   • Basic Principle: Trigonometry can be used to find the height of an object or the distance to an object using angles of elevation and depression.
   • Angle of Elevation: The angle formed between the line of sight from the observer’s eye to an object above the horizontal line.
   • Angle of Depression: The angle formed between the line of sight from the observer’s eye to an object below the horizontal line.
2. Solving Height and Distance Problems:
   • Finding Height: To determine the height
     hh 

     $h$ of an object, use the formula h=d⋅tan⁡θh = d \cdot \tan \theta 

     $h=d\cdot \tan \theta$, where dd 

     $d$ is the distance from the base of the object, and θ\theta 

     $\theta$ is the angle of elevation.

   • Finding Distance: To find the distance
     dd 

     $d$ from the base of an object, use the formula d=htan⁡θd = \frac{h}{\tan \theta} 

     d=tanθh​, where hh 

     $h$ is the height of the object, and θ\theta 

     $\theta$ is the angle of elevation.

3. Examples of Height and Distance Problems:
   • Example 1: If a tower casts a shadow of 20 meters long and the angle of elevation of the sun is 30°, find the height of the tower.
     • Solution: Height
       h=20⋅tan⁡30∘h = 20 \cdot \tan 30^\circ 

       h=20⋅tan30∘.

   • Example 2: From the top of a building, the angle of depression to the base of another building is 45°, and the building is observed to be 50 meters away. Find the height of the building.
     • Solution: Height
       h=50⋅tan⁡45∘h = 50 \cdot \tan 45^\circ 

       h=50⋅tan45∘.

4. Trigonometric Ratios in Real-Life Situations:
   • Navigation: Use trigonometry to determine angles and distances in navigation and mapping.
   • Construction: Apply trigonometric ratios to design and measure angles and lengths in construction projects.
5. Theoretical Applications:
   • Problem-Solving Techniques: Develop strategies for approaching real-life problems using trigonometric principles, such as breaking down complex problems into simpler components.
6. Practical Problems Involving Trigonometry:
   • Example 3: A kite is flying at a height of 80 meters, and the angle of elevation from the ground to the kite is 60°. Calculate the length of the string of the kite.
     • Solution: Length of the string
       L=80sin⁡60∘L = \frac{80}{\sin 60^\circ} 

       L=sin60∘80​.

7. Using Trigonometry for Surveying:
   • Surveying: Trigonometry is used to measure distances and angles in land surveying and construction.

Quiz Structure:

The MCQ quiz for this chapter includes a series of questions designed to test students’ ability to apply trigonometric concepts to solve practical problems. These questions cover scenarios involving height, distance, and angle calculations. The interactive format allows students to practice and assess their problem-solving skills effectively.

Conclusion:

Practicing with the Class 10 Math Some Applications of Trigonometry MCQ Test Chapter 9 is an excellent way for CBSE students to apply trigonometric concepts to real-life problems. This chapter provides practical examples and applications, helping students understand how to use trigonometry in various scenarios. The MCQ quiz helps reinforce these concepts, ensuring students are well-prepared for their academic assessments and competitive exams.

Sanjay Kumar

Math educator (6-12) with an MSc from Delhi University and quiz content creator at QuizRanker.org.

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