Question 1055212
.
If a 41 ft ladder is placed against a building, so that the base is 9 ft away from the bottom of the building.  
How far off the ground will the top of the ladder reach?
~~~~~~~~~~~~~~~~~~~~~~~~~


{{{sqrt(41^2-9^2)}}} = 40.


Pythagorean theorem.



On Pythagorean theorem see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Pythagorean-theorem/The-Pythagorean-Theorem.lesson>The Pythagorean Theorem</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Pythagorean-theorem/More-proofs-of-the-Pythagorean-Theorem.lesson>More proofs of the Pythagorean Theorem</A>

in this site.


For the solutions of the typical word problems on right triangles see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF= http://www.algebra.com/algebra/homework/word/geometry/How-to-solve-problems-on-right-triangles.lesson>HOW TO solve problems on right triangles</A>