First convert 6 ft to inches 6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches
So, 6 ft = 72 inches
The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio
1/30 = x/72
where x is the height of the toy soldier in inches
Cross multiply and solve for x
1/30 = x/72 1*72 = 30*x 72 = 30*x 72/30 = 30*x/30 72/30 = x x = 72/30 x = 12/5 x = 2.4
So the toy should be 2.4 inches tall.
Note how 30 times 2.4 gives us 30*2.4 = 72 which fits with the theme that the real soldier is 30 times taller than the toy counter part.
