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 = (height\ of\ enlarged\ image)/(height\ of\ original\ image)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uoqwfe1m8x10fiojff9ndkg8s364vcehjp.png)
![height\ scale = (3\ meter)/(0.04\ meter)\\\\height scale = (3)/(0.04) = 75](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1bus7wjtgbqls3bgt1xgi0g1q5gk0t3i4u.png)
Thus height scale is 75