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Ex 6.3, 15 - A vertical pole of length 6 m casts a shadow - AA Similarity

Ex 6.3, 15 - Chapter 6 Class 10 Triangles - Part 2

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Ex 6.3, 15 A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower. Given: Height of pole = AB = 6m Length of pole of shadow = BC = 4 m Length of shadow of tower = EF = 28 To Find : Height of tower i.e ED Solution:- In βˆ† 𝐴𝐡𝐢 and βˆ† 𝐷𝐸𝐹 ∠ B = ∠ E = 90Β° ∠𝐢=∠𝐹 ∴ βˆ† 𝐴𝐡𝐢 ∼ βˆ† 𝐷𝐸𝐹 βˆ† 𝐴𝐡𝐢 ∼ βˆ† 𝐷𝐸𝐹 We know that if two triangles are similar, ratio of their sides are in proportion So, 𝐴𝐡/𝐷𝐸=𝐡𝐢/𝐸𝐹 6/𝐷𝐸=4/28 6 Γ—28=𝐷𝐸×4 (6 Γ— 28)/4= 𝐷𝐸 6 Γ—7=𝐷𝐸 𝐷𝐸 = 42 Hence, the height of the tower is 42 metres

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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.