Question

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 1

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

Answer 2

Answer: c. 1:151

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*12` 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 :-

`(48)/(604*12)=(1)/(151)`= 1:151

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