SOLUTION: The top of a 15-foot ladder is 3 ft farther up a wall than the foot of the ladder is from the bottom of the wall. How far is the foot of the ladder from the bottom wall?

Question 163545This question is from textbook
: The top of a 15-foot ladder is 3 ft farther up a wall than the foot of the ladder is from the bottom of the wall. How far is the foot of the ladder from the bottom wall? This question is from textbook

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
15^2=(x+3)^2+x^2
225=x^2+6x+9+x^2
2x^2+6x+9-225=0
2x^2+6x-216=0
2(x^2=3x-108)=0
2(X=12)(x-9)=0
x-9=0
x=9 feet is the distance from the wall to the bottom of the ladder.
Proof:
9^2+(9+3)^2=15^2
81+12^2=225
81+144=225
225=225

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