If the slope of a hill is 0.50, which of the following would be the rise and run?
rise = 2 m, run = 4 m
rise = 5 m, run = 2m
rise - 5 m, run = 4 m
rise = 3 m, run = 5 m
The slope of a hill is defined as the ratio of the rise to the run. It represents the steepness of the hill.
In this case, the slope of the hill is given as 0.50.
To determine the rise and run that would correspond to a slope of 0.50, we need to find the ratio that equals 0.50.
The ratio is rise:run.
Among the given options, the ratio rise:run that is closest to 0.50 is rise = 5 m, run = 2m.
Therefore, the correct answer is:
rise = 5 m, run = 2m
To determine the rise and run, we need to consider the slope formula, which is:
slope = rise/run
Given the slope of 0.50, we can match it with the correct rise and run from the given options:
Option 1: rise = 2 m, run = 4 m
slope = 2/4 = 0.50 (Correct)
Option 2: rise = 5 m, run = 2 m
slope = 5/2 = 2.50 (Incorrect)
Option 3: rise = 5 m, run = 4 m
slope = 5/4 = 1.25 (Incorrect)
Option 4: rise = 3 m, run = 5 m
slope = 3/5 = 0.60 (Incorrect)
Therefore, the correct choice is Option 1, where the rise is 2 m and the run is 4 m.
To determine the rise and run, you need to understand what slope represents. The slope of a hill is a measure of the steepness or incline of the hill. It describes the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the hill.
In this case, the given slope of the hill is 0.50. This means that for every unit of horizontal change (run), there is a half unit of vertical change (rise).
Now let's evaluate the options to determine which one matches the given slope:
Option 1: rise = 2 m, run = 4 m
In this option, the slope can be calculated as rise/run = 2/4 = 0.50. This option matches the given slope.
Option 2: rise = 5 m, run = 2 m
Using rise/run = 5/2, we find a slope of 2.5, which does not match the given slope of 0.50.
Option 3: rise = 5 m, run = 4 m
Calculating the slope as rise/run = 5/4 gives a result of 1.25, which is not equal to 0.50.
Option 4: rise = 3 m, run = 5 m
Plugging the values into the slope formula as rise/run = 3/5 yields a slope of 0.60, which does not match the given slope.
Therefore, the only option that matches the given slope of 0.50 is option 1: rise = 2 m, run = 4 m.