Question

A ladder is leaned against a building. the bottom of the ladder is 11 feet from the building. the top of the ladder is 19 feet above the ground. what is the slope of the ladder?
b. what does the slope of the ladder mean in the real world?
c. if the ladder were set closer to the building, would it be harder or easier to climb? explain in terms of the slope of the ladder.

Answer 1

A ladder is leaned against a building. the bottom of the ladder is 11 feet from the building. the top of the ladder is 19 feet above the ground.

a. what is the slope of the ladder?

slope = rise / run = height / base = 19 feet / 11 feet = 19 /11

b. what does the slope of the ladder mean in the real world?

The slope is the inclination of the ladder. The higher the slope the more leaned is the ladder.

c. if the ladder were set closer to the building, would it be harder or easier to climb? explain in terms of the slope of the ladder.

if the ladder were closer to the building the base would be lower and the heigth would be higher, so the slope would be higher, which means that the ladder would be steeper, therefore harder to climb.

Answer 2

Answer:

The bottom of the ladder is 11 feet from the building. the top of the ladder is 19 feet above the ground.

A. The slope of the ladder is = 19/11

B. In the real world, the slope means the steep of the ladder with respect to ground. When the ladder is more inclined on the wall, the slope is higher.

C. If the ladder were set closer to the building, it would have been difficult to climb because the ladder would have been straight and steeper. Just imagine climbing on a plain wall. Similarly, the ladder when kept too close to the wall, will be difficult to climb.