Calculus

A 17 foot ladder is leaning against a wall. The bottom of the ladder is moving out away from the wall at 0.6 feet per second. The top of the ladder then begins sliding down the wall. How fast is the top of the ladder going when the bottom is 8 feet away from the wall?

  1. 4
asked by Lee
  1. x^2 + y^2 = 17
    solve for y when x=8

    2x dx/dt + 2y dy/dt = 0
    Now just plug in the given values and solve for dy/dt

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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
  2. urgent calculus help please

    A 20m long ladder is leaning against a wall. The top of the ladder is sliding down the wall at a constant speed of 2m/s. How quickly is the bottom of the ladder moving away from the wall when the bottom of the ladder is 5m from
  3. 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? How far is the foot of the ladder from the wall? Can a 6 foot tall man walk under the ladder
  4. 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
  5. Calculus

    a 14 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 3 feet/second, how fast is the top of the ladder moving down when the foor of the ladder
  6. Calculus

    a 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 1 feet/second, how fast is the top of the ladder moving down when the foor of the ladder
  7. 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
  8. science

    A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground at rate 2 cm/s . How fast is its height on wall decreasing when foot of ladder I'd 4 m
  9. Calculus--Please Help!

    A 13-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away at a rate of 2 feet per second, how fast is the area of the triangle formed by the wall, the ground, and the ladder changing
  10. College Calculus

    A 13-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away at a rate of 2 feet per second, how fast is the area of the triangle formed by the wall, the ground, and the ladder changing

More Similar Questions