Bepper

posted by .

One end of a long 26 foot ladder is on the floor and the other end rests on a verical wall the bottom end of the ladder is pulled away from the wall qt a rate of 4 feet per second. how fast is the angle formed by the ladder and the floor changing when the ladder is 10 feet away from the wall

  • calculus - related rates? -

    "bepper" is not a subject I am familiar with.

    Let x be the distance of the bottom from the wall.

    x = (26 ft)*sin(theta)

    dx/dt = 26 cos(theta)* d(theta)/dt = 4 ft/s
    Solve for d(theta)/dt. It will be in radians per second.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 when …
  2. 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 when …
  3. Calculus

    Suppose a ladder of length 36 feet rests against a wall, and we pull the base of the ladder horizontally away from the wall. For a given distance x that we pull the ladder horizontally, let g(x) be the height of the ladder on the wall, …
  4. math

    A ladder 10 m long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at 2 m/s. How fast is the top sliding down the wall when the foot of the ladder is 6m from the wall?
  5. Maths

    A15- foot ladder is leaning against a 30- foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above the ground does the ladder touch the wall. Can someone please help me with this question
  6. calculus

    a ladder 6 feet long leans against a vertical building. the bottom of the ladder slides away from the building horizontally at rate of 1/2 ft/sec. A) at what rate is the top of the ladder sliding down the wall when the bottom of the …
  7. phsics

    uniform ladder 25 ft long rests against a smooth vertical wall. The ladder weighs 15 Kg. The lower end of the ladder is 15 ft from the wall. A man weighing 80 Kg climbs up the ladder until he is 20 ft from the base of the ladder, (20 …
  8. Math

    A ladder 10 ft long leans against a wall. The bottom of the ladder is 6 ft from the wall. How much would the lower end of the ladder have to be pulled away so that the top end would be pulled down by 3 ft?
  9. differential

    A ladder of length 10 m rests with its lower end on a horizontal floor and with a rate of 2m/sec when the lower end is at 8m away from the wall, find: 1) the rate of sliding of the upper end. 2) the rate of change of the angle between …
  10. Calculus (related rates)

    A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.4 m/sec. How fast is the top sliding down the wall when the foot of the ladder …

More Similar Questions