High School

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?

A. 151:1
B. 151:12
C. 1:151
D. 12:151

Answer :

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)= [tex]604\times12[/tex] 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 :-

[tex]\dfrac{48}{604\times12}=\frac{1}{151}[/tex]= 1:151

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

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