A ceiling in a new home rises 8 feet over a distance of 29 feet. Find the slope of this ceiling. Round your answer to two decimal places
Slope is measured as:
slope="rise/run"
=vertical distance/horizontal distance
=tan(θ)
where θ is angle with the horizontal.
To find the slope of the ceiling, we need to use the formula for slope:
slope = rise / run
In this case, the rise is 8 feet and the run is 29 feet. The rise is how much the ceiling has risen vertically, and the run is the horizontal distance over which the ceiling rises.
Now, we can plug these values into the formula:
slope = 8 feet / 29 feet
To find the slope, we divide the rise (8 feet) by the run (29 feet):
slope = 0.27586206896551724
Rounding this answer to two decimal places, the slope of this ceiling is approximately 0.28.