Question

You're trying to enlarge an image that is 4 centimeters tall and 10 centimeters wide onto a billboard that is 3 meters tall and 8 meters wide. What is the height scale?

Answer 1

The height scale is 75

Solution:

Given that you are trying to enlarge an image that is 4 centimeters tall and 10 centimeters wide onto a billboard that is 3 meters tall and 8 meters wide

We have to find the height scale

From given information,

Height of original image = 4 cm

Height of enlarged image = 3 meters

Both the units are different.

Let us convert 4 cm to meter

Use the following conversion factor

1 cm = 0.01 meter

4 cm = 4 x 0.01 meter = 0.04 meter

What is the height scale?

Height scale is found by following:

$height\ scale = \frac{height\ of\ enlarged\ image}{height\ of\ original\ image}$

$height\ scale = \frac{3\ meter}{0.04\ meter}\\\\height scale = \frac{3}{0.04} = 75$

Thus height scale is 75