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

75cm

Explanation:

i got the question right

Answer 2

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

In this problem, we have:

Height of enlarged image = 3 m

Height of original image = 4 centimeter

We have to find the height scale

Convert 4 cm to meter

Use the following conversion factor

1 cm = 0.01 m

Therefore,

4 cm = 0.04 m

Thus, we have got,

Height of original image = 0.04 m

Height of enlarged image = 3 m

Therefore, the height scale is given by the following ratio:

`Height\ scale = \frac{\text{height of enlarged height}}{\text{height of original image}}`

`Height\ scale = (3)/(0.04) = 75`

So, the height scale is 75