Question

A $5.5m$ long ladder is leaned against a vertical wall. If one end of the ladder reaches the wall at a height of $4.4m$, then the horizontal distance between the wall and the foot of the ladder is

• A. $3.3m$
• B. $9.9m$
• C. $1.1m$
• D. $6.6m$

Answer 1

The correct option is A $3.3m$

The distane between the wall and foot of the ladder $=\left(AB\right)=zm$

By using the Pythagoras theorem,
$(BC{)}^2=(AC{)}^2+\left(AB{)}^2\right(5.5{)}^2=(4.4{)}^2+(z{)}^2{z}^2=(5.5{)}^2-(4.4{)}^2{z}^2=\left(30.35\right)-\left(19.36\right)$
Hence, the distance between the wall and the foot of the ladder is $3.3m$