Question

A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the model? Round to the nearest tenth if needed.

Answer 1

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = $\frac{1}{9}$in

Rb = real building = 678ft = 8136in

Rw = real window = ?

$\frac{Mw}{Mb}$ = $\frac{Rw}{Rb}$

$\frac{1/9}{18}$ = $\frac{Rw}{8136}$

$\frac{1}{9*18}$ = $\frac{Rw}{8136}$  

$\frac{1}{162}$ = $\frac{Rw}{8136}$

$\frac{1*8136}{162}$= $\frac{8136*Rw}{8136}$

$\frac{8136}{162}$ = Rw

$\frac{452}{9}$ = Rw

Rw ≈ 50.2in ≈ 4.2ft