Question

A ladder $25m$ long, when set against the wall of house just reaches a window at a height of $24m$. How far is the lower end of the ladder from the base of the wall?

• A. $5cm$
• B. $6cm$
• C. $2cm$
• D. $4cm$

Answer 1

The correct option is D $4cm$

REF.Image.

Solution -

In right angled $△$

Apply Pythagoras theorem

$(24{)}^2+x^2=(25{)}^2$

$576+x^2=625$

$x^2=49$

$x=7m.$