20.0k views
3 votes
An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches?

2 Answers

6 votes

Answer: 60 in

Step-by-step explanation:Let x = 180 feet.

Equating both;

2 inches = 30 feet

x inches = 180 feet

Cross multiply;

30 * x = 2 * 180

30 x = 360

x = 360/30

x = 60 inches

User Randy Orrison
by
6.0k points
2 votes

Answer:

12 inches

Explanation:

Given the conversion factor;

2inches = 30feet

if the height of the building is 180feet, we are to find the height of the scale model in inches.

Let x = 180 feet.

Equating both;

2inches = 30feet

x inches = 180feet

Cross multiply;

30 * x = 2 * 180

30x = 360

x = 360/30

x = 12inches

Hence the height of the scale model in inches is 12inches

User Dan Goodspeed
by
5.2k points