Question

A ladder 10 m long reaches a window 8 m above the ground. Find the distance between the foot of the ladder and the 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,
$A{C}^2=A{B}^2+B{C}^2$
${10}^2=8^2+B{C}^2$
$B{C}^2=100-64$
$B{C}^2=36$
$BC=6$ m
Therefore, the distance between the foot of the ladder and the base of the wall is $6$ m.