A ladder 20m long is kept inclined to reach window 16m high . How fat from the wall shold the foot of the ladder be
Answers
Here we can apply the concept of the Pythagorean triplates.
The length of the ladder is 20 m
It reaches to a height of 16 m
If we think the position of the ladder, ground and the wall then we can construct a geomatric figure through it which is alike to a right angle triangle.
As the ladder is inclined so, the length of the ladder will be equal to the length of hypotenuse= 20 m, if we consider it as a right-angled triangle and the height of the triangle will be equal to the height of the wall upto which the ladder riches = 16 , and the distance between the foot of the ladder and the wall will be equal to the length of the base.
So, according to the Pythagorean triplate we know that,
base = √hypotanuse²-height²
= √20²-16²
= √400-256
=√144
= 12 m
So, the base is 12 m
∴ The distance between the wall and the foot of the ladder is 12 m.