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A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.
Given:
A ladder 10 m long reaches a window of a building 8 m above the ground.
To do:
We have to find the distance of the foot of the ladder from the building.
Solution:
Let $AB$ be the building and $AC$ be the ladder.
$BC$ is the length of the distance of the foot of the ladder from the building.
In right-angled $∆ABC$,
By Pythagoras theorem,
$AB^2 + BC^2 = AC^2$
$8^2 + BC^2 = 10^2$
$64 + BC^2 = 100$
$BC^2 = 100 - 64$
$BC^2 = 36$
$BC = \sqrt{36}\ m$
$BC = 6\ m$
Therefore, the distance of the foot of the ladder from the building is $6\ m$.
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