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

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Navreaiw · Accepted Answer

Step 1  Let:  x=distance of the ladder from the bottom of the wall   y=height of the ladder from the bottom of the wall   L=length of the ladder  Using Pythagorean theorem   L2=x2+y2  Since the height is 3 feet farther up than the distance:  y=x+3  L2=x2+(x+3)2  (15)2=x2+x2+6x+9  225=2x2+6x+9  2x2+6x−216=0  (x−9)(x+12)=0  x1=9 and x2=−12 (neglect the negative value)  Answer: x=9feet

veiga34 · Accepted Answer

Step 1  152=(x+3)2+x2  225=x2+6x+9+x2  2x2+6+9−225=0  2x2+6x−216=0  2(x2=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:  92+(9+3)2=152  81+122=225  81+144=225  225=225

user_27qwe · Accepted Answer

Step 1 This is a right triangle with a hypotenuse =15, the base x &amp;amp; the other side =x+3 x2+(x+3)2=152 x2+x2+6x+9=225 2x2+6x+9−225=0 2x2+6x−216=0 2(X2+3X−108)=0 2(X−9)(X+12)=0 X−9=0 X=9ft. Distance from the wall and the base of the ladder. 9+3=12ft. Distance of the ladder up the wall.

The of a 15-foot ladder is 3 feet farther up

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