Question

A ladder 10m long reaches a window 8m above the ground. Find the distance of the foot of the ladder from base of the wall.

• A. $8m$
• B. $6.5m$
• C. $7m$
• D. $6m$

Answer 1

The correct option is D $6m$


Let BA be the wall and AC be the ladder.
Therefore, by Pythagoras theorem, we have,
$A{C}^2=A{B}^2+B{C}^2$
${10}^2=82+B{C}^2$
$B{C}^2=100-64$
$B{C}^2=36$
$BC=6m$
Therefore, the distance of the foot of the ladder from the base of the wall is $6m$.