Question

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

$AB=6m,CD=11m$

Given $AC=12m$

ABEC is a rectangle, $CE=6m,ED=5m$ and $BE=12m$.

$\Delta BED$ is a right angle triangle,

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

$B{D}^2={12}^2+5^2$

$BD=13m$