Question

The length of a ladder is exactly equal to the height of the wall it is leaning against. If the lower end of the ladder is kept on a bench of height 3 m. and the bench is kept 9 m. away from the wall, the upper end of the ladder coincides with the top of the wall. The height of the wall is

• A. $11m$
• B. $12m$
• C. $15m$
• D. $18m$

Answer 1

The correct option is C $15m$

$A{B}^2+B{C}^2=A{C}^2$
$(h-2{)}^2+9^2=h^2$
$h=15m$