A ladder $17 \mathrm{~m}$ long reaches a window of a building $15 \mathrm{~m}$ above the ground. Find the distance of the foot of the ladder from the building.
Let us draw the diagram from the given information we get a right angled triangle ABC as shown below,
Let the window be at the point A. We know that angle formed between the building and ground is always 90°.
Given: AB = 15 m and CA = 17 m
Now we will use Pythagoras theorem to find $l(B C)$.
$\therefore A C^{2}=A B^{2}+B C^{2}$
Let us substitute the values we get,
$\therefore 17^{2}=15^{2}+B C^{2}$
$\therefore 289=225+B C^{2}$
Subtracting 225 from both the sides of the equation we get,
$\therefore 289-225=B C^{2}$
$\therefore 64=B C^{2}$
Let us take the square root we get,
$B C=\sqrt{64}$
$\therefore B C=8$
Therefore, the distance of the foot of the ladder from the building is $8 \mathrm{~m}$.