Class 10 Maths Chapter 9 Applications of Trigonometry MCQ

NCERT MCQ Solutions for Class 10 Mathematics Chapter 9 Some Applications of Trigonometry provide a wide set of multiple-choice questions covering height and distance problems. Grade 10th Maths MCQ solutions help students understand trigonometric ratios, angles of elevation and depression and their real-life applications. Practicing Class 10 Math Chapter 9 MCQs enhances problem-solving skills, preparing students for board exams and competitive tests. Each question is solved step-by-step, ensuring clarity and accuracy in Trigonometry Applications Class 10 MCQs.
Class 10 Maths Chapter 9 NCERT Solutions
Class 10 Multiple Choice Questions
Class 10 Mathematics MCQ

Applications of Trigonometry in Class 10 Mathematics MCQs

Trigonometry plays as main role in Class 10 Mathematics MCQ, particularly in Chapter 9, Some Applications of Trigonometry. Grade 10 Maths MCQ chapter 9 focuses on real-world applications where angles and distances are measured using trigonometric ratios. NCERT Class 10 Math Chapter 9 MCQs often include questions based on height and distance problems, which are needed in practical scenarios like construction and navigation. Applications of Trigonometry Questions Class 10 typically involve determining the height of buildings, mountains or the distance of an object from an observer using trigonometric principles. MCQs on Applications of Trigonometry require students to identify the correct trigonometric function to apply in different contexts. Solving Multiple Choice Questions on Trigonometry Applications helps in strengthening conceptual clarity and problem-solving skills.

Q1. A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of ladder is 2 m away from the wall, then the length of the ladder ( in metres) is

[A]. 4

[B]. 2√2

[C]. 4√3

[D]. 4/√3

Q2. The tops of two poles of height 16m and 10m are connected by a wire of length l metres. If the wire makes an angle of 30° with the horizontal, then l =

[A]. 10

[B]. 12

[C]. 16

[D]. 26

Trigonometric Ratios and Their Role in 10th Maths MCQs

Trigonometric ratios such as sine, cosine and tangent form the foundation of solving problems in NCERT Class 10 Mathematics Book Trigonometry MCQs. These ratios are defined using the sides of a right-angled triangle and are essential for solving Class 10 Trigonometry Multiple Choice Questions. In NCERT Book Solutions Class 10 Math Chapter 9 Practice Questions, students must apply these ratios to find unknown heights or distances. Trigonometry Applications MCQs Class 10 emphasize the importance of selecting the appropriate ratio based on the given information. For instance, if an observer sees an object at an angle of elevation, the tangent function is commonly used to determine the height of the object. Mastering these concepts through Class 10 Maths Chapter 9 Quiz enhances a student’s ability to tackle competitive exam questions efficiently.

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Q3. The angle of depression of a car parked on the road from the top of a 150m high tower is

[A]. 75

[B]. 50√3

[C]. 150√2

[D]. 150√3

Q4. It is found that on walking x meters towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60°. The height of the chimney is

[A]. 3√2x

[B]. 2√3x

[C]. √3/2x

[D]. 2/√3x

Solving Height and Distance Problems Using Trigonometry MCQ

One of the most frequent applications of trigonometry in Chapter 9 Class 10 Mathematics MCQs is solving height and distance problems. These problems generally involve an observer looking at an object from a certain distance, forming a right-angled triangle between the observer, the object and the ground. NCERT Book Trigonometry MCQs for Class 10 test a student’s ability to apply the correct formula to find missing values. In NCERT Textbook Class 10 Maths Trigonometry Test, questions may include scenarios like measuring the height of a tower when the distance and angle of elevation are known. Understanding these concepts through MCQs for Class 10 Maths Chapter 9 ensures that students develop a solid mathematical approach to problem-solving.

Q5. From the top of a cliff 25m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

[A]. 25 m

[B]. 50 m

[C]. 75 m

[D]. 100 m

Q6. If a pole 6m high casts a shadow 2√ 3m long on the ground, then sun’s elevation is

[A]. 30°

[B]. 45°

[C]. 60°

[D]. 90°

Practical Implementation of NCERT 10th Maths Trigonometry MCQ

Trigonometry is not just limited to theoretical studies; it finds wide applications in real life, which is why MCQs on NCERT Book Solution Class 10 Mathematics Chapter 9 often include real-world problems. Engineers and architects use Class 10th NCERT Trigonometry Practice Questions to calculate inclinations in construction projects. Pilots and navigators rely on Applications of Trigonometry Class 10 NCERT MCQs for calculating the angle of approach and descent. Even sports analysts use trigonometry to determine projectile motion in games. Understanding these applications through Class 10 Math Chapter 9 Assessment prepares students for practical scenarios where mathematical principles are applied. By practicing Class 10 Mathematics NCERT Chapter 9 Multiple Choice Questions, students gain insight into how mathematical calculations play a lead role in various professions.

Q7. If a 1.5 m tall girl stands at a distance of 3m from a lamp-post and casts a shadow of length 4.5m on the ground, then the height of the lamp-post is

[A]. 1.5 m

[B]. 2.0 m

[C]. 2.5 m

[D]. 2.8 m

Q8. The tops of two poles of height 20m and 14 m are connect by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is

[A]. 6 m

[B]. 8 m

[C]. 10 m

[D]. 12 m

Ways to Solve 10th Maths MCQs Efficiently in Examinations

To improve in NCERT Book Class 10 Mathematics Chapter 9 Test, students must adopt a structured approach to solving MCQs efficiently. Memorizing important trigonometric values and understanding their applications is key to answering Trigonometry Applications Class 10 MCQs quickly. In NCERT Book Class 10 Math Chapter 9 Objective Questions, it’s essential to eliminate incorrect options systematically and use approximation techniques when needed. Class 10 Math NCERT Book Trigonometry Quiz questions often test students’ speed and accuracy in solving problems. Practicing Chapter 9 Trigonometry MCQs from previous years’ exams helps in understanding the pattern of questions asked. With a well-structured study plan and regular practice, students can confidently tackle CBSE Class 10 Trigonometry Questions and Answers and score well in their examinations.

Q9. If the altitude of the sum is at 60°, then the height of the vertical tower that will cast a shadow of length 30m is

[A]. 15 m

[B]. 30√3 m

[C]. 30/√3 m

[D]. 15√2 m

Q10. If the angle of elevation of a cloud from a point 200m above a lake is 30° and the angle of depression of its reflection in the lake is 60°, then the height of the cloud above the lake, is

[A]. 30 m

[B]. 200 m

[C]. 400 m

[D]. 500 m

How can I effectively solve Class 10 Maths Chapter 9 MCQs on Trigonometry Applications?

To solve NCERT Class 10 Mathematics Chapter 9 MCQs efficiently, start by understanding the fundamental trigonometric ratios: sine, cosine and tangent. Memorize key trigonometric values for standard angles (30°, 45°, 60°) and their applications in height and distance problems. MCQs on Applications of Trigonometry often involve real-world scenarios, so practice solving problems using diagrams. Eliminate incorrect answer choices systematically and use approximation techniques if necessary. Solve Class 10 Maths Chapter 9 Quiz and previous years’ papers to familiarize yourself with different question types. Consistent practice and time management will help you score well in Class 10 Math Trigonometry MCQs.

What are some common mistakes students make while solving Class 10 Trigonometry Multiple Choice Questions?

Many students struggle with Class 10 Trigonometry Multiple Choice Questions due to a lack of conceptual clarity. A common mistake is using the wrong trigonometric ratio; for example, applying sine instead of tangent for height and distance problems. Another error is misinterpreting the angle of elevation and depression, which leads to incorrect calculations. In Trigonometry MCQs for Class 10, students often forget to convert degrees into radians when required. Rushing through Class 10 Math Chapter 9 Practice Questions without checking calculations can also lead to mistakes. To avoid these errors, carefully analyze the given data, cross-check formulas and practice regularly.

How is trigonometry applied in real life and why is it important to study it in Class 10?

Trigonometry is widely used in various real-life applications, making Class 10 Trigonometry Questions and Answers essential for understanding practical concepts. Engineers and architects use trigonometry to design buildings and bridges, ensuring structural stability. Pilots rely on Trigonometry Applications Class 10 MCQs to calculate angles for landing and takeoff. Surveyors use trigonometry to measure land elevations, while astronomers determine distances between celestial objects. Understanding Chapter 9 Trigonometry MCQs helps students see the relevance of mathematics in everyday life. Mastering trigonometric applications enables logical reasoning and problem-solving skills, which are useful in academics and future careers in science and engineering.

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