Question

A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance. Find the distance of the foot of the ladder from the wall.

Answer 1

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer 2

Given,

A $15m$ long ladder reached a window $12m$ high from the ground on placing it against a wall at a distance.

We have to find the distance of the foot of the ladder from the wall.

Here, the ladder and wall form a right angle triangle

So, here we are using Pythagoras theorem

$Hypotenuse^{2}= Height^{2}+Base^{2}$

Here, Hypotenuse =ladder height

Height = Wall to window height

We have to find the Base

So,

$15^{2}=base^{2}+12^{2}$

Base $= \sqrt{225-144}$

$= \sqrt{81}$

$=9$

Therefore, the distance of the foot of the ladder from the wall is $9m$.