a ladder is leaned against a building. the bottom of the ladder is 9 feet from the building the top of the ladder is 16 feet above the ground. draw a diagram to represent the situation. what is the slope of the ladder?
the top of her ladder is resting on the side of her house 22 feet above the ground. if the the base of the ladder is 5 feet from the ground, what is the slope of the ladder
Here is a diagram representing the situation:
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To represent the situation, let's draw a diagram. Imagine a building with a vertical line (representing the wall) and label it "Building." At the bottom of the wall, draw a horizontal line labeled "Ground." Now, draw a diagonal line slanting from the top of the building to the ground, labeled "Ladder." The bottom of the ladder should be connected to the building's base, and the top of the ladder should extend above the ground.
Next, let's find the slope of the ladder. The slope is the ratio of the vertical change (rise) to the horizontal change (run). In this case, the vertical change is 16 feet (the height of the ladder), and the horizontal change is 9 feet (the distance from the building).
To calculate the slope, divide the rise by the run: slope = rise / run.
Therefore, the slope of the ladder is 16/9 or 1.78 (rounded to two decimal places).