Question

A ladder $10m$ long reaches a window $8m$ above the ground. Find the distance of the foot of the ladder from base of the wall.

• A. $6m$
• B. $8m$
• C. $12m$
• D. $14m$

Answer 1

The correct option is A $6m$

Let $AC=x$ meters be the distance of the foot of the ladder from the base of the wall.
$AB=8m$ (Height of window)
$BC=10m$ (length of ladder)
Now, $x^2+{\left(8\right)}^2={\left(10\right)}^2$
$\Rightarrow$ $x^2=100-64=36$
$\Rightarrow$ $=6$, i.e., $AC=6m$.