SOLUTION: A 12 ft ladder is 6 ft from a wall. how high on the wall does the ladder touch? Im new to this questions any help on steps to solve a problem like this I would appreciate it.

Algebra ->  Pythagorean-theorem -> SOLUTION: A 12 ft ladder is 6 ft from a wall. how high on the wall does the ladder touch? Im new to this questions any help on steps to solve a problem like this I would appreciate it.      Log On


   

Question 176791: A 12 ft ladder is 6 ft from a wall. how high on the wall does the ladder touch? Im new to this questions any help on steps to solve a problem like this I would appreciate it.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

That forms a Right Triangle, where the HYPOTENUSE is in question---> the time the ladder touches the wall.
The HEIGHT of the ladder serves as the opposite side=12ft.
The DISTANCE of the ladder to the wall is the adjacent side=6ft.
Then,
hyp%5E2=opp%5E2%2Badj%5E2
hyp%5E2=12%5E2%2B6%5E2
hyp%5E2=144%2B36
hyp=sqrt%28180%29
highlight%28hyp=sqrt%28180%29ft%29=13.416ft(round-pff)
thank you,
Jojo