The Titanic was 883 feet long and 175 feet tall.

A. If a model is built to have a scale ratio of 1in : 36ft , how long will the model be?

B. If a model is built to have a scale ratio of 1 in : 22 ft , how tall will the model be?

C. If a model is built to have a ratio of 1: 30 , how tall will the model be?

Respuesta :

Answer:

Actual length = 883 feet

Actual height = 175 feet

A)  If a model is built to have a scale ratio of 1 in : 36ft , how long will the model be?

36 feet = 1 inch

Actual length = 883 feet

So, 883 feet = [tex]\frac{883}{36} inch[/tex]

883 feet = [tex]24.527 inch[/tex]

So, If a model is built to have a scale ratio of 1in : 36ft ,the model will be 24.527 inch long.

B)  If a model is built to have a scale ratio of 1 in : 22 ft , how tall will the model be?

22 feet = 1 inch

Actual height = 175 feet

So, 175 feet = [tex]\frac{175}{22} inch[/tex]

883 feet = [tex]7.9545 inch[/tex]

So,  If a model is built to have a scale ratio of 1 in : 22 ft , the model will be 7.9545 inch tall.

C) If a model is built to have a ratio of 1: 30 , how tall will the model be?

Let the height be x

Actual length = 883 feet

Ratio of 1: 30

So, [tex]\frac{1}{30}=\frac{883}{x}[/tex]

[tex]x=\frac{883}{30}[/tex]

[tex]x=29.433[/tex]

So, If a model is built to have a ratio of 1: 30 ,the model will be 29.433 inches tall .