Question

A ladder leaning against the side of a building touches the building at a point 12 meters from the ground. If the foot of the ladder is 18 meters from the base of the building, what is the slope of the ladder?

Answer 1

2/3

Explanation:

Its just as easy as it looks. Its 12/18, or Rise 12 and Run 18.

Solving would get you 2/3, so your slope is 2/3

Answer 2

The slope of the ladder to the building is 2/3

Explanation:

* Lets explain how to find the the slope of the ladder

- A ladder leaning against the side of a building touches the building

at a point 12 meters from the ground

* That means the height of the ladder (h) from the ground is 12 m

- The foot of the ladder is 18 meters from the base of the building

* That means the horizontal distance (d) on the ground between the

ladder and the building is 18 m

- The slope of the ladder (m) , the height of the ladder (h) and the

horizontal distance on the ground from the base of the ladder to

the base of the building (d) can form a right triangle

∵ The slope of the ladder = the vertical distance/horizontal distance

∵ The vertical distance h is 12 meters

∵ the horizontal distance d is 18 meters

∴ The slope of the ladder
`m=(12)/(18)=(2)/(3)`

∴ The slope of the ladder to the building is 2/3