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? b) The ladder in part (a) reaches too high on the house. By how much should the painter move the ladder's base away from the house to lower the top by 1 ft?

  1. 👍
  2. 👎
  3. 👁
  1. You must be studying the Pythagorean Theorem.

    Did you make a diagram?
    make the ladder the hypotenuse of 15, the height as h, and the base as 5

    then solve h^2 + 5^2 = 15^2

    b) take the answer from a), reduce the height by 1 and do a new equation.

    (I got a base of 14.555 for b) )

    1. 👍
    2. 👎
  2. oops
    I checked my math again and that final answer should have been 7.23 ft, not 14.555

    1. 👍
    2. 👎
  3. 8-foot ladder leaning a wall and make 53 degree angle

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    A 12 foot ladder leans against the side of a house the bottom of the ladder is 8 feet from the side of the house how high is the top of the ladder from the ground

  2. Trig

    A 12 foot ladder leans against a building. The top of the ladder leans against the wall 10.5 feet from the ground. What is the angle formed by the ground and the ladder? Assume its a right triangle.

  3. math

    An 11-ft ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

  4. 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

  1. Algebra

    A 12 - ft ladder leans against the side of a house. The bottom of the ladder is 6 ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

  2. 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. a) Consider the triangle formed by the side of the house, ladder, and the ground.

  3. math

    While working on the roof of his house, John leans a 15 foot ladder against a second story window. If the distance on the ground between the base of the ladder and the house is nine feet, at what height does the ladder reach the

  4. math

    a 15 foot ladder is leaning against a house. The base of the ladder is 4 feet from the house. to the nearest tenth of a foot, how high does the top of the ladder reach?

  1. physics help!

    A uniform stationary ladder of length= 5.1 m and mass= 15 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.41.

  2. Trigonometry

    a 20ft. ladder is leaning against a wall so that the foot of the ladder is 9ft. from the buss of the wall what angle does the ladder make with the ground? what is the distance from the top of the ladder to the base of the house?

  3. Physics

    A 15 kg uniform ladder leans againt a wall in the atrium of a large hotel. The ladder is 8m long, and it makes an angle as 60 degree with the floor. The coefficient of static friction between the floor and the ladder is u+ 0.45.

  4. math

    a ladder leans against a building forming an angle of 56 degrees with the ground.The base of the ladder is 3 feet from the building. Use the cosine to determine the length of the ladder.

You can view more similar questions or ask a new question.