Question

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

Answer 1

Consider, the given figure

We have to find $AD$

According to Pythagoras Theorem

$A{D}^2=A{E}^2+D{E}^2$

$AD=\sqrt{A{E}^2+D{E}^2}$

$AD=\sqrt{{12}^2+5^2}$

$=\sqrt{144+25}$

$AD=\sqrt{169}$

$AD=13$

So the distance between their tops is 13 m