contestada

You want to make a scaled-down model of the statue of liberty that fits neatly on top of a pedestal with a 20 x 20 in horizontal surface. the actual statue of liberty is approximately 152 ft tall over a 40 x 40 ft base.
a.what is the scaling factor between the statue of liberty and your model? in other words, how many more times bigger is the statue of liberty than your model? show your work.
b.how tall should your model be, in inches? show your work.

Respuesta :

calculista
a.what is the scaling factor between the statue of liberty and your model?

we know that
[scale factor[=[model]/[actual]
the pedestal model is 20 in*20 in
the pedestal actual is 40 ft* 40 ft
then
[scale factor]=[20 in]/[40 ft] ---------->[1 in]/[2 ft]-------> scale=1/2

the answer Part A) is 
the scale factor is [1 in]/[2 ft]

b.how tall should your model be, in inches? 
the actual statue of liberty is approximately 152 ft tall

[scale factor]=[model]/[actual]---------> [model]=[scale factor]*[actual]
[model]=[1/2]*[152]----------> 76 in

the answer part B) is 76 in tall