# geometry

posted by .

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?

• geometry -

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) )

• (CORRECTION) geometry -

oops
I checked my math again and that final answer should have been 7.23 ft, not 14.555

• geometry -

8-foot ladder leaning a wall and make 53 degree angle

## Similar Questions

1. ### Geometry

A 12 foot ladder is leaning against a house. If the top of the ladder reaches 8 feet up the house, how far is the bottom of the ladder from the base of the house?
2. ### Math

Use the pythagorean Theorem to solve this problem. A painter places an 11 ft ladder against a house. The base of the ladder is 3 ft from the house. How high on the house does the ladder reach?
3. ### math

A painter leans a 15 foot ladder against the side of a house. The top of the ladder touches the house at a height that is 3 feet more than the distance from the house to the bottom of the ladder. How far is the bottom of the ladder …
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?
5. ### math

a 15 foot ladder is leaning against a house with the base of the ladder 4 feet from the house. How high up the house does the ladder reach?
6. ### Math

A ladder is leaning against the side of a house so that it can reach a window that is 25 feet off the ground. The angle in which is formed between the ladder and the ground is 52 degrees. How far from the base of the house is the base …
7. ### Algebra

A ladder base is 3 m away from a house, and the fully extended ladder is 5 m long when it leans against the house. How high does the ladder reach on the house?
8. ### geometry

A painter sets a ladder up to reach the bottom of a second-story window 16 feet above the ground. The base of the ladder is 12 feet from the house. While the painter mixes the paint, a neighbor's dog bumps the ladder, which moves the …
9. ### 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?
10. ### 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?

More Similar Questions