Question 1123588
ladder placed against the wall with its base form right angle triangle where 

the ladder represents hypotenuse, the wall  and base representing the legs

use Pythagorean theorem {{{c^2=a^2+b^2}}} to find how high is the top of the ladder above the ground

given: 
ladder is {{{c=6m}}}
base is {{{a=2m}}}

to find: height of the wall {{{b}}}

{{{(6m)^2=(2m)^2+b^2}}}

{{{36m^2=4m^2+b^2}}}

{{{36m^2-4m^2=b^2}}}

{{{32m^2=b^2}}}

{{{b=sqrt(32m^2)}}}

{{{b=sqrt(2*16*m^2)}}}

{{{b=4sqrt(2)*m}}}