Posted by **sarah** on Tuesday, December 9, 2008 at 9:34pm.

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 -
**Reiny**, Tuesday, December 9, 2008 at 9:41pm
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 -
**Reiny**, Tuesday, December 9, 2008 at 9:45pm
oops

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

- geometry -
**Anonymous**, Friday, April 20, 2012 at 8:41pm
8-foot ladder leaning a wall and make 53 degree angle

## Answer This Question

## Related Questions

- math - a 15 foot ladder is leaning against a house with the base of the ladder 4...
- math - A painter leans a 15 foot ladder against the side of a house. The top of ...
- math - a 15 foot ladder is leaning against a house. The base of the ladder is 4 ...
- Math - Use the pythagorean Theorem to solve this problem. A painter places an 11...
- Algebra - A ladder base is 3 m away from a house, and the fully extended ladder ...
- Geometry - A 12 foot ladder is leaning against a house. If the top of the ladder...
- Math - A ladder is leaning against the side of a house so that it can reach a ...
- math - A ladder is leaning against the side of a house and forms an angle of 66o...
- geometry - You are buying a ladder for your 30-foot-tall house. for safety, you ...
- Geometry - A ladder leans against a house at a 60° angle to the ground. If the ...

More Related Questions