geometry

posted by .

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?

  • geometry -

    a^2 + b^2 = c^2

    a^2 + 7^2 = 25^2
    a^2 + 49 = 625
    a^2 = 625 - 49
    a^2 = 576
    a = 24

    24 - 4 = 20

    20^2 + b^2 = 25^2
    400 + b^2 = 625
    b^2 = 225
    b = 15

    15 - 7 = 8

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry/ SAT Math

    This was an SAT question of the day, but I can't figure out how to come up with the right answer, I think you use Pythagoras Theorum but I'm not sure. Can anyone help with the process here?
  2. 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?
  3. 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?
  4. 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?
  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

    a 15 foot ladder is placed against a vertical wall of a building with the bottom of the ladder stand on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?
  7. Math

    A 15-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?
  8. College Alegebra

    a 23 foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 18 feet from the base. how high up the wall does the ladder reach?
  9. math

    a 14 foot ladder placed against a vertical wall of a building with the bottom of the ladder standing on level ground 9 feet from the base of the building. how high up the wall does the ladder reach?
  10. math

    A 19 ​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 13 feet from the base of the building. How high up the wall does the ladder​ reach?

More Similar Questions