Check sibling questions

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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.