Question

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

The height of the real robot is 6 meters. What is the arm length of the real robot?

Enter your answer, in simplest form, in the box.

Sorry I'm asking so many questions this is hard =(

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

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

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=(x)/(y)`

we have

`x=24\ cm`

`y=6\ m`

substitute

`z=(24)/(6)(cm)/(m)`

`z=4(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=(x)/(y)`

we have

`z=4(cm)/(m)`

`x=12\ cm`

substitute and solve for y

`4=(12)/(y)`

`y=12/4=3\ m`