Answer:
The slope of the ladder to the building is 2/3
Step-by-step 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 [tex]m=\frac{12}{18}=\frac{2}{3}[/tex]
∴ The slope of the ladder to the building is 2/3
