Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, the distance between their tops is option a)14 m b)12m c)13 d)11
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Given: Two poles AB=11 m and CD=6m
Distance between both poles BD=12 m
Then, create a line segment CE parallel to line BD
So, AE=AB−CD=11−5=6 m
In right angled △AEC,
(AC)² =(AE)²+ (EC)²
= 5² + 12²= 169
⇒AC=13 cm
Therefore, the distance between their tops is 13 cm.
Hence, the correct option is (c).
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c)13 is the correct answer
Step by step explaination
AB is the pole with height 11m, distance between their foot i.e. DB is 12 m. Let us assume a point E on the pole AB which is 6m from the base of AB. Thus, the distance between their tops is 13m. Hence correct answer is C)13
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