Question 186909
</pre><font size=4><b>
Let us based the scenario on the illustration below:
{{{drawing(400,400,-1,8,-2,12,line(0,0,0,10),line(0,10,.2,10),line(.2,10,.2,0),line(.2,0,0,0),green(line(.2,10,6,0)),line(7,0,-1,0),line(6,0,5.5,-.3),line(5.5,0,5,-.3),line(5,0,4.5,-.3),line(4.5,0,4,-.3),line(4,0,3.5,-.3),line(3.5,0,3,-.3),line(3,0,2.5,-.3),line(2.5,0,2,-.3),line(2,0,1.5,-.3),line(1.5,0,1,-.3),line(1,0,.5,-.3),line(.5,0,0,-.3),line(0,0,-.5,-.3),line(-.5,0,-1,-.3),red(locate(3,.9,x)),red(locate(3.8,5,2+x)),red(locate(-.5,6,6ft)),green(locate(-.7,5.5,wall)),green(locate(3.5,5.5,ladder)))}}}
By Pythagorean Theorem: (Right Triangle)
{{{(x+2)^2=6^2+x^2}}}
{{{x^2+4x+4=36+x^2}}}
{{{cross(x^2)+4x+cross(x^2)=36-4}}}
{{{4x=32}}}---->{{{cross(4)x/cross(4)=cross(32)8/cross(4)}}}
{{{x=8ft}}}, Distance from the Wall
As per shown, the Length is 2 ft more than it's distance={{{8+2=highlight(10ft)}}}, LENGTH of Ladder
Thank you,
Jojo</pre>