Question

Two poles of heights $6$ m and $11$ m stand on aplane ground. If the distance between the feet of the poles is $12$ m, find the distance between their tops.

Answer 1

Let, $AE=11m$ and $BC=6m$ are the two poles.
$E$ and $C$ are their tops.
Construction:
Join $EC$
Since, $BC=AD=6m$
and $AB=DC=12m$
$\therefore$ $ED=5m$
In $△EDC$
By Pythagoras Theorem,
$E{C}^2=E{D}^2+D{C}^2$
$\therefore$ $E{C}^2=169$
$\therefore$ $EC=13m$
Hence, Distance between their tops $=13m$