Question

$AB$ and $CD$ are two vertical poles of height $6m$ and $11m$ respectively. If the distance between their feet is $12m$, find the distance between their tops.

• A. $13m$
• B. $5m$
• C. $11m$
• D. $12m$

Answer 1

The correct option is A $13m$

Given: AB = 6 m and CD = 11 m. Distance between poles = AC = 12 m
$DE=CD-AB$
$DE=11-6$
$DE=5$ m
Now,In $△DEB$
$D{B}^2=D{E}^2+B{E}^2$ (Pythagoras theorem)
$D{B}^2=5^2+{12}^2$
$D{B}^2=169$
$DB=13$ m