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The seattle space needle is 604 feet tall. a model of the building is 48 inches tall. what is the ratio of the height of the model to the height of the actual space needle?

A151:1 b 151:12

c.1:151

d.12:151

Verified Answer :

Nirina7

the ratio of the height of the model to the height of the actual space needle is 

48: 604, but we know 48= 4x 12, and 604= 4 x 151, so 
48: 604 = 4x 12 : 4 x 151 = 12:151 (simplified by 4)
so the answer is d.12:151

JeanaShupp

Answer: c.   1:151

Step-by-step explanation:

Given: The height of the seattle space needle= 604 feet

We know that 1 feet = 12 inches

Thus, The height of the seattle space needle (in inches)= \(604\times12\) inches

The height of the model of the building = 48 inches

Now, the ratio of the height of the model to the height of the actual space needle is given by :-

\(\dfrac{48}{604\times12}=\frac{1}{151}\)= 1:151

Hence, the  ratio of the height of the model to the height of the actual space needle is 1:151 .

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