Question 105635
Let x=the height of the building
____y=the length of the shadow



IF The length of the shadow of a building is 2 feet more than 2/3 the height of the building...


{{{y=2x/3+2}}}


Also,


IF it is also 12 feet less than the height...


{{{y=x-12}}}


Since {{{y=2x/3+2}}} and {{{y=x-12}}}, Then,


{{{2x/3+2=x-12}}}
{{{3(2x/3+2)=3(x-12)}}}
{{{2x+6=3x-36}}}
{{{3x-36=2x+6}}}
{{{3x-36+36=2x+6+36}}}
{{{3x+0=2x+42}}}
{{{3x=2x+42}}}
{{{3x-2x=2x-2x+42}}}
{{{x=0+42}}}
{{{x=42}}}

Since x= height of the building...


Therefore, the height of the building is 42 ft.


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