Two poles of height 6m and 11m stand on a plane ground. If the distance between the feet of the poles is 12m find the distance between their tops.
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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+(AE)2=(12)2+(5)2=144+25=169
⇒AC=13 m
So, the distance between their tops is 13 m.
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7 Cm
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