Question

A scale model of a giant robot is 24 centimeters high, with an arm length of 12 centimeters.

Answer 1

The answer I got was 3 (may be wrong)
it has 24:6 ratio which is equal to 4 and 12/4 = 3

Answer 2

Answer:

The arm length of the real robot is $3\ m$

Step-by-step explanation:

Step 1

Find the scale factor

we know that

The scale factor is equal to divide the height of the scale model of a giant robot by the height of the real robot

Let

z-----> scale factor

x-----> the height of the scale model of a giant robot

y------> the height of the real robot

so

$z=\frac{x}{y}$

we have

$x=24\ cm$

$y=6\ m$

substitute

$z=\frac{24}{6}\frac{cm}{m}$

$z=4\frac{cm}{m}$

Step 2

Let

z-----> scale factor

x-----> the arm length of the scale model of a giant robot

y------> the arm length of the real robot

so

$z=\frac{x}{y}$

we have

$z=4\frac{cm}{m}$

$x=12\ cm$

substitute and solve for y

$4=\frac{12}{y}$

$y=12/4=3\ m$