natetheman7740
contestada

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 =(

Respuesta :

kaylie5noah
The answer I got was 3 (may be wrong)
it has 24:6 ratio which is equal to 4 and 12/4 = 3
calculista

Answer:

The arm length of the real robot is [tex]3\ m[/tex]

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

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=24\ cm[/tex]

[tex]y=6\ m[/tex]

substitute

[tex]z=\frac{24}{6}\frac{cm}{m}[/tex]

[tex]z=4\frac{cm}{m}[/tex]

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

[tex]z=\frac{x}{y}[/tex]

we have

[tex]z=4\frac{cm}{m}[/tex]

[tex]x=12\ cm[/tex]

substitute and solve for y

[tex]4=\frac{12}{y}[/tex]

[tex]y=12/4=3\ m[/tex]