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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.

Respuesta :

Edufirst
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.
akposevictor

Given that the rise and run of a ladder are 19 feet and 11 feet respectively:

a. Slope of the ladder = 19/11 = 1.7

b. Slope = inclination of the ladder

c. The slope will be steeper and difficult to climb if the ladder was set closer to the wall of the building.

Recall:

  • Slope = vertical distance along a line / horizontal distance = rise/run

a. run = 11 feet

rise = 19 feet

Slope of the ladder = [tex]\frac{rise}{run} = \frac{19}{11}[/tex] = 1.7

b. The slope of the ladder refers to the inclination of the ladder to the wall.

c. If the ladder was set close to the wall of the building, the more steeper the slope would be. This would make it difficult to climb compared to a gentle slope.

In summary, given that the rise and run of a ladder are 19 feet and 11 feet respectively:

a. Slope of the ladder = 19/11 = 1.7

b. Slope = inclination of the ladder

c. The slope will be steeper and difficult to climb if the ladder was set closer to the wall of the building.

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https://brainly.com/question/18047340

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