We have that the side of the house will the ladder reach given as
x'=45ft
From the question we are told that
52 foot ladder
it reaches up 48 feet
7 feet farther from the house,
Generally the Pythagoras equation for the length is mathematically given as
[tex]x^2+48^2=52^2\\\\x=20[/tex]
Now with the new position the distance of ladder top from ground is
[tex]x'^2+(20+7)^2=52^2\\\\x'=44.4\\\\x'=45ft[/tex]
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