Question

head
\\(\frac{1\text{in}}{2\text{in}} = \frac{1\text{in}}{2x}\\)
\\(\frac{1}{2} = \frac{1}{2x}\\)
\\(2 : x = 2 : 1\\)
\\(2x = 2\\)
\\(\frac{2x}{2} = \frac{2}{2}\\)
\\(x = 1\\)

torso
\\(\frac{1\text{in}}{2\text{in}} = \frac{1\text{in}}{2x}\\)
\\(\frac{2}{4} = \frac{4}{2x}\\)
\\(2 : x = 4 : 2\\)
\\(2x = 4\\)
\\(\frac{2x}{2} = \frac{4}{2}\\)
\\(x = 2\\)

legs
\\(\frac{1\text{in}}{2\text{in}} = \frac{1\text{in}}{2x}\\)
\\(\frac{1}{2} = \frac{4}{2x}\\)
\\(2 : x = 5 : 2\\)
\\(2x = 5\\)
\\(\frac{2x}{2} = \frac{5}{2}\\)
\\(x = 2.5\\)

height of the head
a. 1 inch
length of the torso
b. 2 inches
length of the legs
c. 2.5 inches

Explanation:

Looking at the problem, we match the descriptions to the options. The height of the head is associated with 1 inch (option a), the length of the torso with 2 inches (option b), and the length of the legs with 2.5 inches (option c) based on typical proportional relationships or the given context.

Answer:

Height of the head: a. 1 inch
Length of the torso: b. 2 inches
Length of the legs: c. 2.5 inches