SOLUTION: The top of a 15 foot ladder is 3 feet farther up a wall than the foot ladder id from the bottom of the wall. How far is the foot ladder from the bottom wall?
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Question 197243: The top of a 15 foot ladder is 3 feet farther up a wall than the foot ladder id from the bottom of the wall. How far is the foot ladder from the bottom wall?
You can put this solution on YOUR website! This is a right triangle with a hypotenuse=15, the base=x & the other side=x+3.
x^2+(x+3)^2=15^2
x^2+x^2+6x+9=225
2x^2+6x+9-225=0
2x^2+6x-216=0
2(X^2+3X-108)=0
2(X-9)(X+12)=0
X-9=0
X=9 FT. DISTANCE FROM THE WALL AND THE BASE OF THE LADDER.
9+3=12 FT. DISTANCE OF THE LADDER UP THE WALL.