Question

Two poles of height 6m and 11m stands on a plane ground, if the distance between their feet is 12m. Find the distance between their tops.

Answer 1

Given: Two poles $AB=11$ m and $CD=6$m

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 $△AEC$,

$(AC{)}^2=(AE{)}^2+(AE{)}^2=(12{)}^2+(5{)}^2=144+25=169$

$\Rightarrow AC=13$ m

So, the distance between their tops is $13$ m.