# Case Study Questions for Class 10 Maths Chapter 6 Triangles

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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

(i) c
(ii) d
(iii) b
(iv) a
(v) d

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