Question 866731
For the formula as {{{a^2 + b^2 = c^2}}}, the number c is the hypotenuse.  The ladder forms the hypotenuse, and the ladder will be opposite the right angle which the building and the ground form.  You chose a=45, from house to base of the ladder.  The number which you want to solve for is b.


Your steps are all good, and nothing is stopping you from finishing.  
{{{highlight_green(b^2=6075)}}}. .... Just FINISH this!


{{{highlight_green(highlight_green(b=sqrt(6075)))}}}-----FINISH!  FINISH THIS!


What is the complete prime factorization of 6075?
{{{6075=25*243=5*5*9*27=5*5*3*3*(3*3*3)}}}
So you see???????????



The numerical value which you reported is very good, but round to the nearest tenth of a foot makes more sense.  Say maybe 77.9 feet.