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CBSE Class 10 Maths Case Study Questions for Chapter 9 - Some Applications of Trigonometry (Published By CBSE)

Check case study questions for CBSE Class 10 Maths Chapter 9 - Some Applications of Trigonometry. These questions are published by the CBSE itself for class 10 students.

Case study based questions are new for class 10 students. Therefore, it is quite essential that students practice with more of such questions so that they do not have problem in solving them in their Maths board exam. We have provided here the case study questions for CBSE Class 10 Maths Chapter 9 - Some Applications of Trigonometry. All these questions have been published by the Central Board of Secondary Education (CBSE) for the class 10 students. Therefore, students must solve all the questions seriously so that they may score the desired marks in their Maths exam.

Check Case Study Questions for Class 10 Maths Chapter 9:

CASE STUDY 1:

A group of students of class X visited India Gate on an education trip. The teacher and students had interest in history as well. The teacher narrated that India Gate, official name Delhi Memorial, originally called All-India War Memorial, monumental sandstone arch in New Delhi, dedicated to the troops of British India who died in wars fought between 1914 and 1919. The teacher also said that India Gate, which is located at the eastern end of the Rajpath (formerly called the Kingsway), is about 138 feet (42 metres) in height.

1. What is the angle of elevation if they are standing at a distance of 42m away from the monument?

Answer: b) 45 o

2. They want to see the tower at an angle of 60 o . So, they want to know the distance where they should stand and hence find the distance.

Answer: a) 25.24 m

3. If the altitude of the Sun is at 60 o , then the height of the vertical tower that will cast a shadow of length 20 m is

b) 20/ √3 m

c) 15/ √3 m

Answer: a) 20√3 m

4. The ratio of the length of a rod and its shadow is 1:1. The angle of elevation of the Sun is

5. The angle formed by the line of sight with the horizontal when the object viewed is below the horizontal level is

a) corresponding angle

b) angle of elevation

c) angle of depression

d) complete angle

Answer: a) corresponding angle

CASE STUDY 2:

A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka, them being Nanda Devi(height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite, to the top of Nanda Devi and Mullayanagiri are 30° and 60° respectively. If the distance between the peaks of the two mountains is 1937 km, and the satellite is vertically above the midpoint of the distance between the two mountains.

1. The distance of the satellite from the top of Nanda Devi is

a) 1139.4 km

b) 577.52 km

d) 1025.36 km

Answer: a) 1139.4 km

2. The distance of the satellite from the top of Mullayanagiri is

Answer: c) 1937 km

3. The distance of the satellite from the ground is

Answer: b) 577.52 km

4. What is the angle of elevation if a man is standing at a distance of 7816m from Nanda Devi?

5.If a mile stone very far away from, makes 45 o to the top of Mullanyangiri mountain. So, find the distance of this mile stone from the mountain.

a) 1118.327 km

b) 566.976 km

Also Check:

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Class 10 Maths: Case Study Questions of Chapter 9 Some Applications of Trigonometry PDF

Case study Questions on the Class 10 Mathematics Chapter 9  are very important to solve for your exam. Class 10 Maths Chapter 9 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on  Assertion and Reason . There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Some Applications of Trigonometry Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 9 Some Applications of Trigonometry

Case Study/Passage Based Questions

There are two temples on each bank of a river. One temple is 50 m high. A man, who is standing on the top of a 50 m high temple, observed from the top that the angle of depression of the top and foot of other temples are 30° and 60° respectively.

The measure of ∠ADF is equal to (a) 45° (b) 60° (c) 30° (d) 90°

Answer: (c) 30°

A measure of ∠ACB is equal to (a) 45° (b) 60° (c) 30° (d) 90°

Answer: (b) 60°

Width of the river is (a) 28.90 m (b) 26.75 m (c) 25 m (d) 27 m

Answer: (a) 28.90 m

The height of the other temple is (a) 32.5 m (b) 35 m (c) 33.33 m (d) 40 m

Answer: (c) 33.33 m

The angle of depression is always (a) reflex angle (b) straight (c) an obtuse angle (d) an acute angle

Answer: (d) an acute angle

Rohit is standing at the top of the building observes a car at an angle of 30°, which is approaching the foot of the building at a uniform speed. 6 seconds later, the angle of depression of the car formed to be 60°, whose distance at that instant from the building is 25 m.

The height of the building is (a) 25√2 m (b) 50 m (c) 25√3 m (d) 25 m

Answer: (c) 25√3 m

Distance between two positions of the car is (a) 40 m (b) 50 m (c) 60 m (d) 75 m

Answer: (b) 50 m

Total time is taken by the car to reach the foot of the building from the starting point is (a) 4 secs (b) 3 secs (c) 6 secs (d) 9 secs

Answer: (d) 9 secs

The distance of the observer from the car when it makes an angle of 60° is (a) 25 m (b) 45 m (c) 50 m (d) 75 m

Answer: (c) 50 m

The angle of elevation increases (a) when point of observation moves towards the object (b) when point of observation moves away from the object (c) when object moves away from the observer (d) None of these

Answer: (a) when point of observation moves towards the object

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 10 Maths Some Applications of Trigonometry Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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Case Study on Some Applications of Trigonometry Class 10 Maths PDF

The passage-based questions are commonly known as case study questions. Students looking for Case Study on Some Applications of Trigonometry Class 10 Maths can use this page to download the PDF file. 

The case study questions on Some Applications of Trigonometry are based on the CBSE Class 10 Maths Syllabus, and therefore, referring to the Some Applications of Trigonometry case study questions enable students to gain the appropriate knowledge and prepare better for the Class 10 Maths board examination. Continue reading to know how should students answer it and why it is essential to solve it, etc.

Case Study on Some Applications of Trigonometry Class 10 Maths with Solutions in PDF

Our experts have also kept in mind the challenges students may face while solving the case study on Some Applications of Trigonometry, therefore, they prepared a set of solutions along with the case study questions on Some Applications of Trigonometry.

The case study on Some Applications of Trigonometry Class 10 Maths with solutions in PDF helps students tackle questions that appear confusing or difficult to answer. The answers to the Some Applications of Trigonometry case study questions are very easy to grasp from the PDF - download links are given on this page.

Why Solve Some Applications of Trigonometry Case Study Questions on Class 10 Maths?

There are three major reasons why one should solve Some Applications of Trigonometry case study questions on Class 10 Maths - all those major reasons are discussed below:

• To Prepare for the Board Examination: For many years CBSE board is asking case-based questions to the Class 10 Maths students, therefore, it is important to solve Some Applications of Trigonometry Case study questions as it will help better prepare for the Class 10 board exam preparation.
• Develop Problem-Solving Skills: Class 10 Maths Some Applications of Trigonometry case study questions require students to analyze a given situation, identify the key issues, and apply relevant concepts to find out a solution. This can help CBSE Class 10 students develop their problem-solving skills, which are essential for success in any profession rather than Class 10 board exam preparation.
• Understand Real-Life Applications: Several Some Applications of Trigonometry Class 10 Maths Case Study questions are linked with real-life applications, therefore, solving them enables students to gain the theoretical knowledge of Some Applications of Trigonometry as well as real-life implications of those learnings too.

How to Answer Case Study Questions on Some Applications of Trigonometry?

Students can choose their own way to answer Case Study on Some Applications of Trigonometry Class 10 Maths, however, we believe following these three steps would help a lot in answering Class 10 Maths Some Applications of Trigonometry Case Study questions.

• Read Question Properly: Many make mistakes in the first step which is not reading the questions properly, therefore, it is important to read the question properly and answer questions accordingly.
• Highlight Important Points Discussed in the Clause: While reading the paragraph, highlight the important points discussed as it will help you save your time and answer Some Applications of Trigonometry questions quickly.
• Go Through Each Question One-By-One: Ideally, going through each question gradually is advised so, that a sync between each question and the answer can be maintained. When you are solving Some Applications of Trigonometry Class 10 Maths case study questions make sure you are approaching each question in a step-wise manner.

What to Know to Solve Case Study Questions on Class 10 Some Applications of Trigonometry?

 A few essential things to know to solve Case Study Questions on Class 10 Some Applications of Trigonometry are -

• Basic Formulas of Some Applications of Trigonometry: One of the most important things to know to solve Case Study Questions on Class 10 Some Applications of Trigonometry is to learn about the basic formulas or revise them before solving the case-based questions on Some Applications of Trigonometry.
• To Think Analytically: Analytical thinkers have the ability to detect patterns and that is why it is an essential skill to learn to solve the CBSE Class 10 Maths Some Applications of Trigonometry case study questions.
• Strong Command of Calculations: Another important thing to do is to build a strong command of calculations especially, mental Maths calculations.

Where to Find Case Study on Some Applications of Trigonometry Class 10 Maths?

Use Selfstudys.com to find Case Study on Some Applications of Trigonometry Class 10 Maths. For ease, here is a step-wise procedure to download the Some Applications of Trigonometry Case Study for Class 10 Maths in PDF for free of cost.

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Case Study Questions Class 10 Maths Chapter 9 Some Applications of Trigonometry

CBSE Class 10 Case Study Questions Maths Some Applications of Trigonometry. Term 2 Important Case Study Questions for Class 10 Board Exam Students. Here we have arranged some Important Case Base Questions for students who are searching for Paragraph Based Questions Some Applications of Trigonometry.

At Case Study Questions there will given a Paragraph. In where some Important Questions will made on that respective Case Based Study. There will various types of marks will given 1 marks, 2 marks, 3 marks, 4 marks.

CBSE Case Study Questions Class 10 Maths Some Applications of Trigonometry

Case Study – 1

A group of students of class X visited India gate on an education trip the teacher and students had interested in history as well. the narrate the India gate. Official name Delhi Memorial originally called All- India War Memorial, monumental sand stone arch in new Delhi dedicated to the troops of British India who died in wars fought between 1914 and 1919. The teacher also said that india gate, which is located at the eastern end of the Rajpath (formerly called the Kingsway) is about 138 feet (42 metres) in height.

[KVS Raipur 2021 – 22]

(i) if the altitude of the sun is at 600. then the height of the vertical tower that will cast a shadow of length 20 m is ?

Answer – 20√3m

(ii) The ratio of the length of a Rod and its shadow is 1:1. The angle of elevation of the sun is?

Answer – 45 0

(iii) The angle formed by the line of sight with the horizontal when the object viewed is below the horizontal level is

• a) corresponding angle
• b) angle of elevation
• c) angle of depression
• d) complete angle

Answer – a) corresponding angle 

iv) What is the angle of elevation if they are standing at a distance of 42m away from the monument?

Answer – b) 45 0

CASE STUDY 2:

A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka ,them being Nanda Devi (height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite , to the top of Nanda Devi and Mullayanagiri are 30° and 60° respectively. If the distance between the peaks of two mountains is 1937 km , and the satellite is vertically above the midpoint of the distance between the two mountains.

[ CBSE Academic Question Paper ]

(1) The distance of the satellite from the top of Mullayanagiri is

(a) 1139.4 km

(b) 577.52 km

(c) 1937 km

(d) 1025.36 km

Answer: (c) 1937 km

(2) If a mile stone very far away from, makes 45 to the top of Mullanyangiri mountain .So, find the distance of this mile stone form the mountain.

(a) 1118.327 km

(b) 566.976 km

(3) The distance of the satellite from the ground is

Answer: (b) 577.52 km

(4) The distance of the satellite from the top of Nanda Devi is

Answer: (a) 1139.4 km

(5) What is the angle of elevation if a man is standing at a distance of 7816m from Nanda Devi?

Answer: (b) 45°

We hope that above case study questions will help you for your upcoming exams. To see more click below – 

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Case Study Questions for Class 10 Maths Chapter 9 Applications of Trigonometry

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies as well. In that, a paragraph will be given, and then the MCQ questions or subjective questions based on it will be asked.

Here, we have provided case based/passage-based questions for Class 10 Maths Chapter 9 Applications of Trigonometry

Case Study Questions:

Question 1:

A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka, them being Nanda Devi (height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite to the top of Nanda Devi and Mullayanagiri are 30° and 60° respectively. If the distance between the peaks of two mountains is 1937 km, and the satellite is vertically above the midpoint of the distance between the two mountains.

(i) The distance of the satellite from the top of Mullayanagiri is

(a) 1139.4 km

(b) 577.52 km

(c) 1937 km

(d) 1025.36 km

(ii) If a mile stone very far away from, makes 45 to the top of Mullanyangiri mountain. So, find the distance of this milestone form the mountain.

(a) 1118.327 km

(b) 566.976 km

(iii) The distance of the satellite from the ground is

(iv) The distance of the satellite from the top of Nanda Devi is

(v) What is the angle of elevation if a man is standing at a distance of 7816m from Nanda Devi?

Question 2:

A group of students of class X visited India Gate on an educational trip. The teacher and students had interest in history as well. The teacher narrated that India Gate, official name Delhi Memorial, originally called All-India War Memorial, monumental sandstone arch in New Delhi, dedicated to the troops of British India who died in wars fought between 1914 and 1919.The teacher also said that India Gate, which is located at the eastern end of the Rajpath (formerly called the Kingsway), is about 138 feet (42 m) in height.

(i) What is the angle of elevation if they are standing at a distance of 42 m away from the monument? (a) 30° (b) 45° (c) 60° (d) 0°

(ii) They want to see the tower at an angle of 60°. So, they want to know the distance where they should stand and hence find the distance. (a) 25.24 m (b) 20.12 m (c) 42 m (d) 24.24 m

(iii) If the altitude of the Sun is at 60°, then the height of the vertical tower that will cast a shadow of length 20 m is (a) 20 √ 3 m (b) 20/ √ 3 m (c) 15/ √ 3 m (d) 15 √ 3 m

(iv) The ratio of the length of a rod and its shadow is 1 : 1. The angle of elevation of the Sun is (a) 30° (b) 45° (c) 60° (d) 90°

(v) The angle formed by the line of sight with the horizontal when the object viewed is below the horizontal level is (a) corresponding angle (b) angle of elevation (c) angle of depression (d) complete angle

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Class 10 Maths Case Study Questions Chapter 8 Introduction to Trigonometry

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Case study Questions in the Class 10 Mathematics Chapter 8  are very important to solve for your exam. Class 10 Maths Chapter 8 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving Class 10 Maths Case Study Questions Chapter 8  Introduction to Trigonometry

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Introduction to Trigonometry Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 8 Introduction to Trigonometry

Case Study/Passage-Based Questions

Question 1:

Answer: (d) 6m

(ii) Measure of ∠A =

Answer: (c) 45°

(iii) Measure of ∠C =

(iv) Find the value of sinA + cosC.

Answer: (d) 2√2

(v) Find the value of tan 2 C + tan 2  A.

Answer: (c) 2

Question 2:

Answer: (a) 30°

(ii) The measure of  ∠C is

Answer: (c) 60°

(iii) The length of AC is 

Answer: (d)6√3m

(iv) cos2A =

Answer: (b)1/2

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Introduction to Trigonometry Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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CBSE 10th Standard Maths Subject Some Applications of Trigonometry Case Study Questions With Solution 2021

By QB365 on 22 May, 2021

QB365 Provides the updated CASE Study Questions for Class 10 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get  more marks in Exams

QB365 - Question Bank Software

10th Standard CBSE

Final Semester - June 2015

Case Study Questions

(ii) Measure of \(\angle\) ACB is equal to

(iii) Width of the river is 

(iv) Height of the other temple is

(v) Angle of depression is always

(ii) If the angle made by the rope to the ground level is 45°, then find the distance between artist and pole at ground level.

(iii) Find the height of the pole if the angle made by the rope to the ground level is 30°.

(iv) If the angle made by the rope to the ground level is 30° and 3 m rope is broken, then find the height of the pole

(v) Which mathematical concept is used here?

(ii) What should be the length of ladder, so that it makes an angle of 60° with the ground?

(iii) The distance between the foot ofladder and pole is

(iv) What will be the measure of \(\angle\) BCD when BD and CD are equal?

(v) Find the measure of \(\angle\) DBC.

(ii) If  \(\angle\) YAB = 30°, then \(\angle\) ABD is also 30°, Why?

(iii) Length of CD is equal to

(iv) Length of BD is equal to

(v) Length of AC is equal to

(ii) If the position of Pankaj is 25 m away from the base of pedestal and Zr = 30°, then find the height of pedestal.

(iii) If the height of pedestal is 30 m, \(\angle\) t = 45° and \(\angle\) z = 30°, then the horizontal distance between Arun and Pankaj is

(iv) If the vertical height of sky lantern from the top of pedestal is 12 m and \(\angle\) y = 30°, then distance between Teewan and sky lantern is

(v) If \(\angle\) q = 60° and position of Arun is 15 m away from the base of pedestal, then find the height of pedestal.

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Cbse 10th standard maths subject some applications of trigonometry case study questions with solution 2021 answer keys.

(i) (b): Total height of pole = 8 m \(\therefore\) BD = AD - AB = (8 - 2)m = 6 m (ii) (a):  \(\text { In } \Delta B D C, \frac{B D}{B C}=\sin 60^{\circ}\) \(\Rightarrow \quad \frac{6}{B C}=\frac{\sqrt{3}}{2} \) \(\Rightarrow \quad B C=\frac{12}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}=4 \sqrt{3} \mathrm{~m}\) (iii) (d):  \(\text { In } \triangle B D C\) \(\frac{B D}{C D}=\tan 60^{\circ} \Rightarrow \frac{6}{C D}=\sqrt{3} \Rightarrow C D=\frac{6}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}=2 \sqrt{3} \mathrm{~m}\) (iv) (b) :  \(\text { If } \Delta B C D\) \(\frac{B D}{C D}=\tan \theta \Rightarrow 1=\tan \theta \quad[\because B D=C D] \) \(\Rightarrow \quad \theta=45^{\circ}\) (v) (c) :   \(\operatorname{In} \Delta B D C, \angle B+\angle D+\angle C=180^{\circ}\) \(\therefore \quad \angle B=180^{\circ}-60^{\circ}-90^{\circ}=30^{\circ}\)

(i) (b):   \(\angle X A C=45^{\circ}\)   \(\therefore \quad \angle A C D=45^{\circ}\)   [Alternate interior angles] (ii) (b) (iii) (c) :  \(\text { In } \Delta A C D\) \(\frac{A D}{D C}=\tan 45^{\circ} \) \(\Rightarrow \frac{100}{D C}=1 \Rightarrow D C=100 \mathrm{~m}\) (iv) (d):   \(\text { In } \Delta A B D, \frac{A D}{B D}=\tan 30^{\circ}\) \(\Rightarrow \quad \frac{100}{B D}=\frac{1}{\sqrt{3}} \) \(\Rightarrow \quad B D=100 \sqrt{3} \mathrm{~m}\) (v) (a):  \(\text { In } \Delta A D C\) \(\frac{A D}{A C}=\sin 45^{\circ} \Rightarrow \frac{100}{A C}=\frac{1}{\sqrt{2}} \Rightarrow A C=100 \sqrt{2} \mathrm{~m}\)

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CBSE Case Study Questions for Class 10 Maths Some Applications of Trigonometry Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Some Applications of Trigonometry  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

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CBSE Case Study Questions for Class 10 Maths Some Applications of Trigonometry PDF

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