SOLUTION: The foot of an extension ladder is 10 feet away from the base of a wall. The ladder is 2 feet longer than the distance that it reaches up the wall. How far up the wall will the lad

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Question 402384: The foot of an extension ladder is 10 feet away from the base of a wall. The ladder is 2 feet longer than the distance that it reaches up the wall. How far up the wall will the ladder reach?
Found 2 solutions by checkley79, scott8148:
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
A^2+B^2=C^2
10^2+X^2=(X+2)^2
100+X^2=X^2+4X+4
100=4X+4
4X=100-4
4X=96
X=96/4
X=24 FEET IS THE HEIGHT OF THE LADER AGAINST THE WALL.
24+2=26 FEET IS THE LENGTH OF THE LADDER.
pROOF:
10^2+24^2=26^2
100+576=676
676=676

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
by Pythagoras ___ x^2 + 10^2 = (x + 2)^2

x^2 + 100 = x^2 + 4x + 4

96 = 4x