# geometry

posted by .

A ladder is propped against a wall. If the top of the ladder reaches 18 feet up the wall and the base of the ladder is 6 feet from the base of the wall, how long is the ladder?

• geometry -

If you sketch this out, the ladder, up against the wall, forms right triangle.

Using the Pythagorean theorem, you need to find c, the hypotenuse.

c^2 = 6^2 + 18^2

Solve for c, the length of the ladder.

• geometry -

129600

## Similar Questions

1. ### geometry

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?
2. ### 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, …
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- 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?
7. ### algebra

Sheila is climbing on a ladder that is attached against the side of a jungle gym wall. She is 5 feet off the ground and 3 feet from the base of the ladder, which is 15 feet from the wall. How high up the wall is the top of the ladder?
8. ### Basic math

A 15 foot ladder propped against a wall the base of the ladder is 3 feet from the wall how far up the wall does the ladder reach.
9. ### algeba

A ladder is leaning against a building. The base of the ladder is 8 feet from the wall, and the top of the ladder reaches 6 feet up the wall. How long is the ladder?
10. ### 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?

More Similar Questions