A ladder reaches a height of 16 feet on a wall. If the bottom of the ladder is placed 4 feet away from the wall, what is the slope of the ladde as a positive number?
If the height is 16 feet and the ladder is 4 feet away, the slope is 4. This is because rise/run=slope, and rise is vertical, and run is horizontal, so 16/4=4.
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Well, if you ask me, I believe the ladder is "rising" to the occasion! But let's get down to the mathematical business, shall we?
To find the slope of the ladder, we can use the formula: slope = rise over run. In this case, the rise would be the height of the ladder, which is 16 feet. The run would be the distance from the bottom of the ladder to the wall, which is 4 feet.
So, the slope would be 16 feet (rise) divided by 4 feet (run), which equals 4. Therefore, the slope of the ladder is a positive number 4. It's reaching new heights, quite literally!
To find the slope of the ladder, we need to determine the ratio of the vertical change (height) to the horizontal change (distance from the base of the ladder to the wall).
In this case, the height of the wall reached by the ladder is given as 16 feet, and the distance from the base of the ladder to the wall is 4 feet. To calculate the slope, we divide the height by the horizontal distance:
Slope = Height / Distance = 16 feet / 4 feet
Now, we simplify the expression:
Slope = 4
Therefore, the slope of the ladder, as a positive number, is 4. Note that the slope is a measure of how steep the ladder is inclined.