Posted by Jack on Thursday, February 28, 2013 at 7:11pm.
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet and the length of the ladder is one foot more than twice the distance from the wall. Find the distance from the wall to the bottom of the ladder. (Hint: Use the Pythagorean Theorem.)

Algebra 1  Jack, Thursday, February 28, 2013 at 7:12pm
And please can you show me all your work.

Algebra 1  Reiny, Thursday, February 28, 2013 at 9:52pm
make a sketch.
let the distance of the foot from the wall be x ft
label the base x
the length of the ladder (the hypotenuse) is
one foot more than twice the distance from the wall
 2x + 1
mark the hypotenuse 2x + 1
and of course the height is 15
so in your rightangled triangle
15^2 + x^2= (2x+1)^2
225 + x^2 = 4x^2 + 4x + 1
0 = 3x^2 + 4x  224
Using the quadratic formula:
x = (4 ± √2704)/6
= (4 ± 52)/6
= 8 or a negative, which we would reject
So the ladder is 8 ft from the wall
check:
height = 15
base = 8
ladder = 17
is 15^2 + 8^2 = 17^2 ?? , YES!
Answer This Question
Related Questions
 algebra  A ladder is resting against a wall. The top of the ladder touches the ...
 math solving quadratic equations by factoring  a ladder is resting against a ...
 algebra 2  a ladder is resting against a wall. the top of the ladder touches ...
 math  A ladder is resting against a wall. The top of the ladder touches the ...
 maths  A ladder lies against a wall.the top of the ladder reaches 8feet above ...
 Calculus  related rates: a ladder, 12 feet long, is leaning against a wall. if ...
 MAth  A 13 foot ladder is resting against the wall. The bottom is initially 10 ...
 Calculus  Suppose a ladder of length 36 feet rests against a wall, and we pull ...
 math  A ladder leans against a brick wall, The top of the ladder touches the ...
 Math  A ladder is two feet longer than the height of a certain wall. When the ...
More Related Questions