math

posted by .

a 25 foot ladder leans against the wallit touches the wall 24 feet off the ground if you slide the base of the ladder back 10 feet off the ground how far does it slide down the wall?

  • test -

    a little vector analysis makes this relatively easy. Find two points B and C on the line. Let A=(1,2,2)

    Form vectors AB and AC. These two vectors lie in the desired plane. Let n be the normal to the plane.

    n = AB × AC
    n•(v-A) = 0 is the desired plane.

    So, pick any two points on the line, say B=(0,2,0) and C=(1,4,0)

    AB = -i -2k
    AC = 2j -2k

    n =
    | i j k |
    |-1 0 -2 |
    | 0 2 -2 |
    = 4i -2j + 2k

    4i -2j + 2k • (x-1)i + (y-2)j + (z-2)k = 0
    2x-y+z = 2

    For a fuller explanation, see

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A ladder leans against a brick wall, The top of the ladder touches the wall 10 feet from the ground. The ladder is 15 feet long. How far does the bottom of the ladder sit from the wall?
  2. geometry

    A 25-foot ladder is placed against a vertical wall of a building. The base of the ladder is 7 feet from the base of the wall. If the top of the ladder slips 4 feet, how many feet will the base of the ladder slide?
  3. Pre-Calculus

    A ladder leans leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the …
  4. math

    a 25 foot ladder leans against the wallit touches the wall 24 feet off the ground if you slide the base of the ladder back 10 feet off the ground how far does it slide down the wall?
  5. Math- Calculus

    A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall?
  6. Math- Calculus

    A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall?
  7. algebra

    an 18-foot ladder leans against the wall of a building. the base of the ladder is 9 feet from the bulding on level ground.how many feet up the wall,to the nearest tenth of a foot,is the ladder?
  8. Geometry

    A 20 foot extension ladder leans against Paul’s barn wall creating a 65° angle with the ground. How many feet (to the nearest tenth) above the ground is the point where the ladder touches the wall?
  9. algebra

    Sheila is climbing on a ladder that is attached against the side of a jungle gym wall. She is 5 feet off the ground and 3 feet from the base of the ladder, which is 15 feet from the wall. How high up the wall is the top of the ladder?
  10. geometry/trig

    Initially a fifty foot ladder rests against a wall. As I start to climb it, the ladder slides down, finally stopping such that the ladder touches the wall at a point 8 feet below where it originally touched the wall. During the slide, …

More Similar Questions