SOLUTION: a ladder is resting against the wall. the top of the ladder touches the wall at a height of 6 feet. find the length of the ladder if the length is 2 foot more than its distance fro

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Question 186909: a ladder is resting against the wall. the top of the ladder touches the wall at a height of 6 feet. find the length of the ladder if the length is 2 foot more than its distance from the wall.
Found 2 solutions by checkley77, jojo14344:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
This is a right triangle thus:
a^2+b^2=c^2
2^2+6^2=c^2
4+36=c^2
40=c^2
c=sqrt40
c=6.32 ft. is the length of the ladder.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let us based the scenario on the illustration below:

By Pythagorean Theorem: (Right Triangle)
%28x%2B2%29%5E2=6%5E2%2Bx%5E2
x%5E2%2B4x%2B4=36%2Bx%5E2
cross%28x%5E2%29%2B4x%2Bcross%28x%5E2%29=36-4
4x=32---->cross%284%29x%2Fcross%284%29=cross%2832%298%2Fcross%284%29
x=8ft, Distance from the Wall
As per shown, the Length is 2 ft more than it's distance=8%2B2=highlight%2810ft%29, LENGTH of Ladder
Thank you,
Jojo