Question

9. A ladder 13 m long rests against a vertical wall. If the foot of the ladder is 5 m away from the wall
and the ladder just reaches the top of the wall, how high is the wall?​

Answer 1

now, given, H = 13 m, B = 5m

Thus,

${h}^{2} = {p}^{2} + {b}^{2}$

(by Pythagoras theorem)

${13}^{2} = {p}^{2} + {5}^{2}$

${p}^{2} = 144$

$P$$=$$12 m$

$Thus,$$the$$distance$$between$$the$$foot$$of$$the$$wall$$and$$the$$ladder$$is$$12$$m$