SOLUTION: A ladder is resting against a wall. Tha top of it touches the wall at a heaight of 6 ft. Find length of the ladder if the ladder is 2ft more than its distance from the wall.

Question 187077: A ladder is resting against a wall. Tha top of it touches the wall at a heaight of 6 ft. Find length of the ladder if the ladder is 2ft more than its distance from the wall.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
6^2+X^2=(X+2)^2
36+X^2=X^2+4X+4
36+X^2-X^2-4X-4=0
-4X+32=0
-4X=-32
X=-32/-4
X=8 FT. ANS. FOR THE DISTANCE FROM THE BOTTOM OF THE LADDER TO THE BUILDING
8+2=10 FT. ANS FOR THE LENGTH OF THE LADDER.
PROOF:
6^2+8^2=10^2
36+64=100
100=100

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