Question

a ladder 10m long rest against vertical wall of height 8m. how far is the foot from the wall
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Answer 1

Answer:

Let us consider it as a right angled triangle ABC right angled at C where

AB= 10 cm

AC= 8cm

We have to find BC

${ab}^{2} = {bc}^{2} + {ac}^{2} \\ {ab}^{2} - {ac}^{2} = {bc}^{2} \\ {10}^{2} - {8}^{2} = {bc}^{2} \\ 100 - 64 = {bc}^{2} \\ 36 = {bc}^{2} \\ 6 = bc \\ \\ hence \: the \: foot \: of \: the \: ladder \: is \: 6m \: far \: from \: the \: wall$