A straight road up a hill has a slope of 1/4. From the bottom of the hil to the top of the hill, the horizontal change is 80 m. Determine the height of the hill.
I'm thinking that it's 80/4 = 20 m.. but I'm not 100% sure.
You are correct.
Slope=1/4=Y/80, Y=80/4=20m.
You are right!
To determine the height of the hill, you can use the slope of the road and the horizontal change. The slope is given as 1/4, meaning that for every 1 meter of vertical change, there is a corresponding horizontal change of 4 meters.
In this case, you are given the horizontal change as 80 meters. To find the vertical change (height of the hill), you can multiply the horizontal change by the reciprocal of the slope, because the slope is the ratio of the vertical change to the horizontal change.
So, you can multiply 80 meters by the reciprocal of 1/4, which is 4/1.
80 meters * (4/1) = 320 meters.
Therefore, the height of the hill is 320 meters.