Question

Sam Houston's Arms

Answer 1

Answer:

The length of the statue's arm is 26.22 ft.

Step-by-step explanation:

Let the length of the statue's arm be 'x'.

Given:

Height of statue is, $H=67\ ft$

Height of male is, $h=5\ ft\ 9\ in=5\ ft+\frac{9}{12}\ ft=5+0.75=5.75\ ft$

Length of the male's arm is, $l=27\ in=\frac{27}{12}=2.25\ ft$

Now, as the size of Sam Houston's statue is proportional to that of an adult male, therefore, their heights and arm lengths will also be in proportion. So,

$\frac{H}{h}=\frac{x}{l}\\x=\frac{H}{h}\times l$

Now, plug in the given values and solve for 'x'.

$x=\frac{67}{5.75}\times 2.25\\x=26.22\ ft$

Therefore, the length of the statue's arm is 26.22 ft