**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 case study-based** **questions for Class 10 Maths 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:**

Aanya and her father go to meet her friend Juhi for a party. When they reached to [uhi’s place, Aanya saw the roof of the house, which is triangular in shape. If she imagined the dimensions of the roof as given in the figure, then answer the following questions.**(i) If D is the mid point of AC, then BD =**

(a) 2m | (b) 3m | (c) 4m | (d) 6m |

Answer: (d) 6m

**(ii) Measure of ∠A =**

(a) 30° | (b) 60° | (c) 45° | (d) None of these |

Answer: (c) 45°

**(iii) Measure of ∠C =**

(a) 30° | (b) 60° | (c) 45° | (d) None of these |

Answer: (c) 45°

**(iv) Find the value of sinA + cosC.**

(a) 0 | (b) 1 | (c) 1/2 | (d) 2√2 |

Answer: (d) 2√2

**(v) Find the value of tan ^{2}C + tan^{2} A.**

(a) 0 | (b) 1 | (c) 2 | (d) 1/2 |

Answer: (c) 2

**Question 2:**

Three friends – Anshu, Vijay, and Vishal are playing hide and seek in a park. Anshu and Vijay hide in the shrubs and Vishal have to find both of them. If the positions of the three friends are at A, and Band C respectively as shown in the figure, and form a right-angled triangle such that AB = 9 m, BC = 33√3 m, and ∠∠B = 90°, then answer the following questions.**(i) The measure of ∠A is **

(a) 30° | (b) 45° | (c) 60° | (d) None of these |

Answer: (a) 30°

**(ii) The measure of ∠C is**

(a) 30° | (b) 45° | (c) 60° | (d) None of these |

Answer: (c) 60°

**(iii) The length of AC is **

(a)2√3 m | (b)√3m | (c)4√3m | (d)6√3m |

Answer: (d)6√3m

**(iv) cos2A =**

(a) 0 | (b)1/2 | (c)1/√2 | (d)√3/2 |

Answer: (b)1/2

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