Question 1092166
The height of the window at the center is
{{{ 4 + 4 = 8 }}} ft
The equation of the arch would be:
{{{ ( x - 4 )^2 + y^2 = 4^2 }}}
{{{ y^2 = 4^2 - ( x-4 )^2 }}}
{{{ y = sqrt( 16 - ( x-4 )^2 ) }}}
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check:
Here's the plot:
{{{ graph( 800, 400, -1, 10, -1, 5, sqrt( 16 - ( x-4 )^2 )) }}}