Question 1072636
Bottom leg, h-18
Wall leg, h-9
Hypotenuse or ladder length, h


{{{(h-18)^2+(h-9)^2=h^2}}}


{{{h^2-36h+324+h^2-18h+81=h^2}}}


{{{h^2-36h-18h+324+81=0}}}


{{{h^2-54h+405=0}}}


{{{(h-9)(h-45)=0}}}


{{{highlight(h=45)}}}-------ladder length.


How high up the wall?
{{{h-9=45-9=highlight(highlight(35))}}}