Complete question :
Tabby is building two models of the Eiffel Tower. The scale factor of Model 2 to Model 1 is 1/4
____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)
Height _______ 984 ______11.808 ____?
W of base ____ 328 _______? _______?
Answer:
Model 1 :
Width of Base = 328 * 0.012 = 3.936 inch
Model 2 :
Height = 11.808 * 4 = 47.232 inches
Width of base = 4 * 3.936 = 15.744 inches
Explanation:
____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)
Height _______ 984 ______11.808 ____?
W of base ____ 328 _______? _______?
Scale factor of Model 2 to Model 1 is 1/4
Model 1 : Model 2
1 : 4
The scale factor of actual tower to model 1
984ft = 11.808 inches
Hence,
1 ft = 11.808 / 984
1 ft = 0.012 inch
Model 1 :
Width of Base = 328 * 0.012 = 3.936 inch
Since ;
Model 1 : Model 2 ; 1 / 4
1 : 4
Model 2 :
Height = 11.808 * 4 = 47.232 inches
Width of base = 4 * 3.936 = 15.744 inches