Final answer:
To find how many feet are equivalent to 6 inches in the same ratio as 2 inches is to 10 feet, we solve a proportion and find that 6 inches corresponds to 30 feet.
Step-by-step explanation:
The student is asking for help in understanding the concept of ratios and unit conversion within the context of customary units of measurement. To solve the given problem, we need to understand that there are 12 inches in 1 foot. Therefore, to find the equivalent of 2 inches to 10 feet in terms of 6 inches, we need to set up a proportion and solve for the unknown number of feet.
First, we convert 10 feet to inches:
10 feet x 12 inches/foot = 120 inches
Now, we have the ratio:
2 inches : 120 inches = 6 inches : x inches
To solve for x, we cross-multiply and divide:
(2 inches * x inches) = (6 inches * 120 inches)
x inches = (6 inches * 120 inches) / 2 inches
x inches = 720 inches / 2 inches
x inches = 360 inches
Now, we convert 360 inches back to feet:
360 inches / 12 inches/foot = 30 feet
So, 6 inches is to 30 feet.