Surveying: Surveyors sometimes use similar triangles to measure inaccessible distances. A surveyor could find distance AB by setting up similar triangles ABC and EDC. Assuming all lengths may be directly measured to set up a proportion and solve for AB.
17. How does the surveyor make ABC similar to EDC?
18. Set up a proportion and solve for AB
19. Find the areas of the two triangles in Ercise 17. Compare the ratio of the areas to the ratio of the perimeters.
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From the figure < ACB = < DCE
(Because co-interior angles)
From the fig. it's clear that
<A = <B
And <D = <E (DC = DE)
In a triangle sum of the angles equal to 1800
..<A+,B+<ACB = ...
Similar triangles are investigated. The solution is detailed and well presented. How the surveyor makes ABC similar to EDC is determined.