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

Ques 39 (MCQ) - A vertical stick 20m long casts a shadow 10m long on - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

part 2 - Question 39 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

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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 (š‘Æš’†š’Šš’ˆš’‰š’• š’š’‡ š’”š’•š’Šš’„š’Œ)/(š‘³š’†š’š’ˆš’•š’‰ š’š’‡ š’”š’‰š’‚š’…š’š’˜ š’š’‡ š’”š’•š’Šš’„š’Œ)=(š‘Æš’†š’Šš’ˆš’‰š’• š’š’‡ š‘»š’š’˜š’†š’“)/(š‘³š’†š’š’ˆš’•š’‰ š’š’‡ š’”š’‰š’‚š’…š’š’˜ š’š’‡ š‘»š’š’˜š’†š’“) 20/10=(š‘Æš’†š’Šš’ˆš’‰š’• š’š’‡ š‘»š’š’˜š’†š’“)/50 2 =(š»š‘’š‘–š‘”ā„Žš‘” š‘œš‘“ š‘‡š‘œš‘¤š‘’š‘Ÿ)/50 2 Ɨ 50 = Height of tower Height of tower = 100 m So, the correct answer is (d)

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