Chapter 6.4B, Problem 13A

Leonardo da Vinci in his drawing Vitruvian man showed that the man’s armspan was equal to the man’s height. Some other ratios are listed below.

$\frac{\text{Length of hand}}{\text{Length of foot}}=\frac{7}{9}$

$\frac{\text{Distance from elbow to the end of hand}}{\text{Distance from shoulder to elbow}}=\frac{8}{5}$

$\frac{\text{Length of hand}}{\text{Length of big toe}}=\frac{14}{3}$

Use the ratios above, answer the following questions.

a. If the length of the big toe is $6\text{cm}$, how long should the hand be ?

b. If a hand is $21\text{cm}$, how long is the foot?