# math

posted by .

The top of a 15-foot ladder is 3 ft. father 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 of the wall?

• math -

Let x be the distance of the foot from the wall. Then use the Pythagorean theorem.
x^2 + (x+3)^2 = 15^2 = 225
2x^2 +6x -216 = 0
x^2 +3x -108 = 0
That factors easily. (Think: 9x12 = 108)Take the positive root.

## Similar Questions

1. ### Calculus

related rates: a ladder, 12 feet long, is leaning against a wall. if the foot of the ladder slides away from the wall along level ground,what is the rate of change of the top of the ladder with respect to the distance of the foot of …
2. ### algebra

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 …
3. ### algebra

a 17-foot ladder leans against a wall. if the ladder is 8 feet from the base of the wall, how far is it from the bottom of the wall to the top of the ladder
4. ### Calculus

a 16 foot ladder is leaning against a building. the bottom of the ladder os sliding along the pavement at 3 ft/s How fast is the top of the ladder moving down when the foot of the ladder is 2 ft from the wall
5. ### Calculus

a 5m ladder rests against a vertical wall. The top of the ladder begins sliding down the wall at 2m/sec, while the foot of the ladder moves away from the base of the wall. How fast is the foot of the ladder moving away from the wall …
6. ### Math

A 13 foot ladder is leaning against a vertical wall. The distance from the top of the ladder to the bottom of the wall is 7 feet longer than the distance from the bottom of the ladder to the bottom of the wall. Find how high the top …
7. ### math

the top of a ladder 6 m long is resting against a vertical wall on a level pavement, when the ladder begins to slide outwards. At the moment when the foot of the ladder is 4 m from the wall, it is sliding away from the wall @ 0.5m/sec. …
8. ### Analytical Geometry

A 10 foot long ladder is leaning against a vertical wall with the top of the ladder 8ft from the ground. What is the slope of the ladder?
9. ### Math 2

The bottom of the ladder rests on a horizontal flat surface and the top of the ladder rests against a wall. The ladder makes an angle of elevation of 61°. The bottom of the ladder is 6 ft from the base of the wall. How long is the …
10. ### math

A 5-foot ladder is leaning against a 4-foot wall. How far must the bottom of the ladder be from the base of the wall so that the top of the ladder rests on the top of the wall?

More Similar Questions