Question

Two poles of height $6m$ and $11m$ stand vertically upright on a plane ground. If the distance between their feet is $12m$, the distance between their tops is:

• A. $12m$
• B. $14m$
• C. $13m$
• D. $11m$

Answer 1

The correct option is C $13m$

Let $AB$ and $CD$ be two poles such that $AB=6m$ and $CD=11m$.
Given, $AC=12m$
Now, $ABEC$ is a rectangle, thus $CE=6m,ED=5m$ and $BE=12m$
Now, $BED$ is a right angled triangle
Hence, by Pythagoras theorem:
$B{D}^2=D{E}^2+B{E}^2$
$B{D}^2={12}^2+5^2$
$BD=13m$.

Hence, option C is the correct answer.