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
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Last updated at Sept. 9, 2021 by Teachoo
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 (๐ฏ๐๐๐๐๐ ๐๐ ๐๐๐๐๐)/(๐ณ๐๐๐๐๐ ๐๐ ๐๐๐๐ ๐๐ ๐๐ ๐๐๐๐๐)=(๐ฏ๐๐๐๐๐ ๐๐ ๐ป๐๐๐๐)/(๐ณ๐๐๐๐๐ ๐๐ ๐๐๐๐ ๐๐ ๐๐ ๐ป๐๐๐๐) 20/10=(๐ฏ๐๐๐๐๐ ๐๐ ๐ป๐๐๐๐)/50 2 =(๐ป๐๐๐โ๐ก ๐๐ ๐๐๐ค๐๐)/50 2 ร 50 = Height of tower Height of tower = 100 m So, the correct answer is (d)
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