Driving down a mountain, Tom finds that he has descended 1800 ft
in elevation by the time he is 3.25 mi horizontally away from the top of the
mountain. Find the slope of his descent to the nearest hundredth.
Thank you.
The slope is:
$\displaystyle S=\Delta h/\Delta x$,
where $\displaystyle \Delta h$ is the decent and $\displaystyle \Delta x$ is the horizontal distance corresponding to the decent (both measured in the same units). Note we are not worrying about the sign of the slope in this case.
Now 1 mile is 5280 ft so:
$\displaystyle S=\Delta h/\Delta x=1800/(3.25 \times 5280)\approx 0.105$,
or about 1 in 19.
RonL