If the ratio of rise to run is to be $\frac { 1 } { 3 }$ for some stairs and the measure of the run is 22 centimeters, find the measure of the rise to the nearest centimeter.
A)66 cm
B)6 cm
C)7 cm
D)17 cm
E)22 cm

Question

Quizplus · Accepted Answer

The ratio of rise to run is $\frac{1}{3}$, which means that for every 3 units of run, we have 1 unit of rise. If the run is 22 centimeters, we can set up the proportion:

$\frac{\text{rise}}{22}=\frac{1}{3}$

Cross-multiplying gives us:

3 × rise = 22

rise = $\frac{22}{3}$

Rounding to the nearest centimeter gives us a rise of 7 centimeters. Therefore, the answer is C.

If the Ratio of Rise to Run Is to Be 13\frac { 1 } { 3 }31​

If the Ratio of Rise to Run Is to Be $\frac { 1 } { 3 }$