**Case Study Questions:**

**Question 1:**

Vijay is trying to find the average height of a tower near his house. He is using the properties of similar triangles. The height of Vijayâ€™s house if 20 m when Vijayâ€™s house casts a shadow 10 m long on the ground. At the same time, the tower casts a shadow 50m long on the ground and the house of Ajay casts 20 m shadow on the ground.

**(i) What is the height of the tower?**(a) 20 m

(b) 50 m

(c) 100 m

(d) 200 m

**(ii) What will be the length of the shadow of the tower when Vijayâ€™s house casts a shadow of 12m?**(a) 75 m

(b) 50 m

(c) 45 m

(d) 60 m

**(iii) What is the height of Ajayâ€™s house?**(a) 30 m

(b) 40 m

(c) 50 m

(d) 20 m

**(iv) When the tower casts a shadow of 40m, same time what will be the length of the shadow of Ajayâ€™s house?**(a) 16 m

(b) 32 m

(c) 20 m

(d) 8 m

**(v) When the tower casts a shadow of 40m, same time what will be the length of the shadow of Vijayâ€™s house?**(a) 15 m

(b) 32 m

(c) 16 m

(d) 8 m

## Answer

Answer:(i) c

(ii) d

(iii) b

(iv) a

(v) d

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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