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Question 39 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at March 22, 2023 by

Β A vertical stick 20m long casts a shadow 10m long on the ground. At the same time a tower casts a shadow 50m long. What is the height of the tower?

(a) 30m Β  (b) 50m Β  (c) 80m Β  (d) 100m

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Question 39 A vertical stick 20m long casts a shadow 10m long on the ground. At the same time a tower casts a shadow 50m long. What is the height of the tower? (a) 30m (b) 50m (c) 80m (d) 100m Since the triangles are similar Their sides are proportional (π‘―π’†π’Šπ’ˆπ’‰π’• 𝒐𝒇 π’”π’•π’Šπ’„π’Œ)/(π‘³π’†π’π’ˆπ’•π’‰ 𝒐𝒇 π’”π’‰π’‚π’…π’π’˜ 𝒐𝒇 π’”π’•π’Šπ’„π’Œ)=(π‘―π’†π’Šπ’ˆπ’‰π’• 𝒐𝒇 π‘»π’π’˜π’†π’“)/(π‘³π’†π’π’ˆπ’•π’‰ 𝒐𝒇 π’”π’‰π’‚π’…π’π’˜ 𝒐𝒇 π‘»π’π’˜π’†π’“) 20/10=(π‘―π’†π’Šπ’ˆπ’‰π’• 𝒐𝒇 π‘»π’π’˜π’†π’“)/50 2 =(π»π‘’π‘–π‘”β„Žπ‘‘ π‘œπ‘“ π‘‡π‘œπ‘€π‘’π‘Ÿ)/50 2 Γ— 50 = Height of tower Height of tower = 100 m So, the correct answer is (d)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.