CBSE Class 10 Maths (Basic) 2025 · Paper 430(B) · Question 36

Triangles 4 marks Medium

Raghu is trying to find the height of a tower near his house, using the properties of similar triangles. The height of Raghu's house is

12

m. When Raghu's house casts a shadow

6

m long on the ground, the tower casts a shadow

40

m long on the ground. At the same time, the house of his friend Ramesh casts

12

m long shadow on the ground. Based on the above information, answer the following:

(i)What is the height of the tower?[1]
(ii)What is the height of Ramesh's house?[1]
(iii)(a)When the tower casts a shadow of $60$ m long, what will be the length of shadow of Ramesh's house?[2]
(iii)(b) ORWhen the tower casts a shadow of $48$ m long, what will be the length of shadow of Raghu's house?[2]

Answer

(i) The height of the tower is

80

m; (ii) The height of Ramesh's house is

24

m; (iii)(a) The shadow of Ramesh's house is

18

m long; OR (iii)(b) The shadow of Raghu's house is

7.2

m long.

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