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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Transcript

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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.