Posted by **alexa** on Thursday, February 3, 2011 at 5:07pm.

john's paint crew knows from experience that its 18 ft ladder is particularly stable when the distance from the ground to the top of the ladder is 5 ft more than the distance from the building to the base of the ladder. in this position, how far up the building does the ladder reach?

- functions -
**helper**, Thursday, February 3, 2011 at 5:36pm
Functions?

This is a geometry problem.

The ladder up against the wall forms a right triangle.

x = base

x + 5 = opposite side

18 = hypotenuse

Using the Pythagorean theorem,

x^2 + (5 + x)^2 = 18^2

Solve for x

5 + x = how far up the blding the ladder reaches.

- functions -
**Reiny**, Thursday, February 3, 2011 at 5:37pm
let the base be x ft

then the height is x+5 ft

solve x^2 + (x+5)^2 = 18^2

- functions -
**Anonymous**, Wednesday, September 4, 2013 at 3:03pm
14.98?

- functions -
**Mighty**, Thursday, October 10, 2013 at 10:27pm
x = 9.989983874

Use that answer to check your work.

(9.979983874)^2 + (9.979983874 + 5)^2 = 18^2

The height is exactly 14.979983874 ft.

## Answer this Question

## Related Questions

- algebra 2 - A ladder of 25ft is placed against a building in such a way that the...
- college algebra - A contractor leans a 23-foot ladder against a building. The ...
- math - You have a 20-foot ladder that you are using as you paint your house. You...
- algebra - A ladder is resting against a wall. The top of the ladder touches the ...
- Intermediate Algebra - A ladder is leaning against a house. the distance from ...
- Algebra 1 - A ladder is resting against a wall. The top of the ladder touches ...
- math - A 13 feet ladder is leaning against a house. The distance from the bottom...
- Calculus - A fence 5 feet tall runs parallel to a tall building at a distance of...
- math word problems - A ladder is leaning against a building. The distance from ...
- maths - A 20 foot ladder is leaning against a building.if the ratio of the base ...

More Related Questions