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―πππππ ππ πππππ)/(π³πππππ ππ ππππ ππ ππ πππππ)=(π―πππππ ππ π»ππππ)/(π³πππππ ππ ππππ ππ ππ π»ππππ)
20/10=(π―πππππ ππ π»ππππ)/50
2 =(π»πππβπ‘ ππ πππ€ππ)/50
2 Γ 50 = Height of tower
Height of tower = 100 m
So, the correct answer is (d)
Made by
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.
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