**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 30Â° and 60Â° 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

## Show Answer

Answer: (c) 1937 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

(c) 1937 km

(d) 1025.36 km

## Show Answer

Answer: (c) 1937 km**(iii) The distance of the satellite from the ground is**

(a) 1139.4 km

(b) 577.52 km

(c) 1937 km

(d) 1025.36 km

## Show Answer

Answer: (b) 577.52 km**(iv) The distance of the satellite from the top of Nanda Devi is**

(a) 1139.4 km

(b) 577.52 km

(c) 1937 km

(d) 1025.36 km

## Show Answer

Answer: (a) 1139.4 km**(v) What is the angle of elevation if a man is standing at a distance of 7816m from Nanda Devi?**

(a) 30Â°

(b) 45Â°

(c) 60Â°

(d) 0Â°

## Show Answer

Answer: (b) 45Â°**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) 30Â°

(b) 45Â°

(c) 60Â°

(d) 0Â°

(ii) They want to see the tower at an angle of 60Â°. 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 60Â°, then the height of the vertical tower that will cast a shadow of length 20 m is

(a) 20**âˆš**3 m

(b) 20/**âˆš**3 m

(c) 15/**âˆš**3 m

(d) 15**âˆš**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) 30Â°

(b) 45Â°

(c) 60Â°

(d) 90Â°

(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

**You may also like:**

Chapter 1 Real Numbers

Chapter 2 Polynomials

Chapter 3 Pair of Linear Equations in Two Variables

Chapter 4 Quadratic Equations

Chapter 5 Arithmetic Progressions

Chapter 6 Triangles

Chapter 7 Coordinate Geometry

Chapter 8 Introduction to Trigonometry

Chapter 9 Some Applications of Trigonometry

Chapter 10 Circles

Chapter 11 Constructions

Chapter 12 Areas Related to Circles

Chapter 13 Surface Areas and Volumes

Chapter 14 Statistics

Chapter 15 Probability