math word problem

posted by .

sam needs to clean the window on his house. he has a 25-foot ladder and places the base of the ladder 10 feet from the wall of the house.

A) how high up the wall will the ladder reach?

B) if his windows are 20 feet above the ground, what is the farthest distance the baes of the ladder can be from the wall?

  • math word problem -

    Use the Pythagorean Theorem.

    a^2 + b^2 = c^2
    10^2 + b^2 = 25^2
    100 + b^2 = 625
    b^2 = 525
    b = 22.9 feet

    Do the second problem using the Pythagorean Theorem.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    A painter leans a 15 ft ladder against a house. The base of the ladder is 5 ft from the house. a) To the nearest tenth of a foot, how high on the house does the ladder reach?
  2. Calculus

    A ladder is leaning against the wall of a house.The base of the ladder is pulled away from the wall at a rate of 2ft/sec (b) Consider the triangle formed by the side of the house ,theladder, and the ground. Find the rate at which the …
  3. Algebra

    Tom has a 15 foot ladder that he leaned against the wall of his house. Tom put the base of the ladder 3 feet away from the house. How far up The house is the top of the ladder?
  4. AICE math

    A 30 foot ladder is leaning against a house(see figure). if the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a a rate of r= 2x/(sqrt(900-x^2) ft/sec, where s ist …
  5. Math

    you need to clean the gutters of your home. the gutters are 24 FT above the ground. for safety, the distance a ladder reaches up a wall should be four times the distance from the bottom of the ladder to the base of the side of the …
  6. Math

    A 6 m ladder is leaning against the wall of a house The angle between the ladder and the ground Is 60 degrees . How far away is the ladder from the wall?
  7. Math

    A 6 m ladder is leaning against the wall of a house. The angle between the ladder and the ground is 68 degrees. How far away is the ladder from the wall.?
  8. Calculus

    A ladder a = 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of b = 4 feet/second. Consider the triangle formed by the side of the house, the ladder, and the ground. …
  9. Calculus

    A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 7 feet?
  10. algebra

    Bob needs to wash the windows on his house. He has a 25-foot ladder and places the base of the ladder 10 feet from the wall on the house. How far up the wall will the ladder reach?

More Similar Questions