# 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 base 2 feet farther away from the house. How far up the side of the house does the ladder reach/

1. 👍
2. 👎
3. 👁
1. Ladder is 12 feet out and 16 ft up,

A VERY UNSAFE WAY TO PUT THE LADDER!!

L^2 = 12^2+16^2
= 400
L= √400 = 20

new position:
base = 14 , height = ? , L = 20

solve:
h^2 + 14^2 = 20^2

1. 👍
2. 👎
2. Base=14' Height=2 Length =16'

1. 👍
2. 👎
3. You’re wrong

1. 👍
2. 👎
4. Wrong

1. 👍
2. 👎
5. Woah

1. 👍
2. 👎

## Similar Questions

1. ### math

a 10-foot ladder is placed against the side of a building as shown i figure i below.the bottom of the ladder is 8 feet from the base of the building .in the order to increase the reach of the ladder against the building ,it is

2. ### Calculus

A ladder 25 feet long is leaning against a vertical wall. If the bottom of the ladder is pulled horizontally away from the wall so that the top of the ladder is sliding down at 3ft/sec, how fast is the measure of the measure of

3. ### 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?

4. ### 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?

1. ### 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?

2. ### geometry

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

3. ### Math

A 10-FOOT LADDER IS PLACED AGAINST A VERTICAL WALL OF A BUILDING, WITH THE BOTTOM OF THE LADDER STANDING ON LEVEL GROUND 6 FEET FROM THE BASE OF THE BUILDING. How HIGH UP THE WALL DOES THE LADDER REACH?

A 13-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away at a rate of 2 feet per second, how fast is the area of the triangle formed by the wall, the ground, and the ladder changing

1. ### Calculus

A ladder 15 feet long leans against a vertical wall. Supppose that when the bottom of the ladder is x feet from the wall, the bottom is being pushed towards the wall at the rate of 1/2x feet per second. How fast is the top of the

2. ### math

A 10 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8 feet from the base of the building. How high up the wall does the ladder reach.

3. ### Calculus

a 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 1 feet/second, how fast is the top of the ladder moving down when the foor of the ladder

4. ### Math

A ladder 23 feet long leans up against a house. The bottom of the ladder starts to slip away from the house at 0.16 feet per second.How fast is the tip of the ladder along the side of the house slipping when the ladder is 7.2 feet