Answer:
450 feet
Explanation:
If the model of a building has a scale of 1" to 30ft, and the height of the model is 1.25", we can calculate the actual height of the building by using the scale ratio.
The scale ratio can be calculated as follows:
Scale Ratio = Actual Height / Model Height
Given that the scale is 1" to 30ft, the scale ratio can be expressed as:
1" : 30ft
To convert from inches to feet, we need to divide the model height by 12. So, the adjusted scale ratio becomes:
1/12" : 30ft
Now, we can set up the equation and solve for the actual height:
(1/12) / 1.25 = 30 / x
Multiplying both sides by 1.25, we get:
1/12 = (30 / x) * 1.25
Simplifying further:
1/12 = 37.5 / x
Cross-multiplying:
x = (12 * 37.5) / 1
x ≈ 450
Therefore, the actual height of the building is approximately 450 feet.