Answer:
Let the distance of the foot of the ladder from the wall be \[a\] m. Then, \[{{a}^{2}}+{{12}^{2}}={{15}^{2}}\] \[\left| \text{By Pythagoras Property} \right.\] \[\Rightarrow \] \[{{a}^{2}}+144=225\] \[\Rightarrow \] \[{{a}^{2}}=225-144\] \[\Rightarrow \] \[~a=81\] \[\Rightarrow \] \[a=9\] Hence, the distance of the foot of the ladder from the wall is 9 m.
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