a Create a proportion using the scale of the model.
B
b Convert feet to inches in the given scale. Then, create a proportion.
A
a 84 feet
B
b ≈0.5 inch
Practice makes perfect
a We are given that the height of the model of the Mercury-Redstone rocket is 7 inches, and the scale of this model to the rocket is 1in.12ft. To find the height of the rocket, h, we will create a proportion using the given information.
7in./hft= 1in./12ft
Let's solve the above proportion using cross multiplication.
b In this part, we are asked to evaluate the diameter of the model if the diameter of the rocket is 70 inches. We will use the given scale, but this time we should first express it only in inches.
1ft=12in.
1in./12ft=1in./12(12)in.=1in./144in.Now, we can create a proportion using the scale factor 1144. Let d be the diameter of the model.
1144=d/70
Let's solve for d using cross multiplication.
