The ratio of a model building's dimensions to the building's actual dimensions is 1/52. If the height of the model is 15 inches, what is the height of the actual building in feet?

Set this up as a proportion with the model stuff on top and actual building stuff on bottom. [tex] \frac{1}{52} = \frac{15}{x} [/tex]. Cross multiply to get x = 780. The actual building is 780 inches. In feet that is 65.

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lhabdulsamirahmed lhabdulsamirahmed · Answer 2 · 2022-01-21T11:50:30+01:00

The height of the building is 65 feet.

We are given the ratio to which the model is designed to the actual building in inches.

Data given;

ratio = 1:52
height of the model = 15in

Ratio

The ratio of the model to the actual building is 1:52,

If, the model is 15 inches, it implies that the actual building is (15 * 52) inches.

Height of the building is

[tex]15 * 52 = 780in[/tex]

The height of the building is 780in.

Convert from inches to feet

Now we have to convert the height in inches to feet

1 foot = 12 inches

x foot = 780 inches

[tex]x = 780/ 12 = 65ft[/tex]

The height of the building is 65 feet.

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