Question

The width of a woman's shoulders is proportional to her height. A woman who is 64 inches tall has a shoulder width of 16.2 inches. Find the height of a woman who has a shoulder width of 18.5 inches. Round your answer to the nearest tenth.

Answer 1

width of woman's shoulder : to her height ( Given)

$\frac{width\text{ of woman's shoulder}}{\text{her height }}=\text{ }\frac{16.2}{64\text{ }}=\frac{18.5}{x}$

If x = to her height

$\begin{gathered} \frac{16.2}{64}=\frac{18.5}{x} \\ 64\times18.5\text{ = 16.2 }\times x \\ x\text{ =}\frac{64\text{ }\times18.5}{16.2} \\ x\text{ = 73.08641975 inches} \end{gathered}$

To the nearest tenth, her height will be 73.1 inches