Given:
The dimensions for 10, 20, 30, 40, 50 and 60 scales are given.
The ratio for A is 1:1.
The ratio for B is 1:1.
The ratio for C is 1″=1′.
The ratio for D is 1″=10′.
The ratio for E is 1″=100′.
The ratio for F is 1:2.
The ratio for G is 1′=2″.
The ratio for H is 1″=20′.
The ratio for I is 1″=200′.
The ratio for J is 1:3.
The ratio for K is 1″=3′.
The ratio for L is 1″=30′.
The ratio for M is 1″=300′.
The ratio for N is 1″=3000′.
The ratio for O is 1:4.
The ratio for P is 1″=4′.
The ratio for Q is 1″=40′.
The ratio for R is 1″=400′.
The ratio for S is 1″=4000′.
The ratio for T is 1:5.
The ratio for U is 1″=5′.
The ratio for V is 1″=50′.
The ratio for W is 1″=500′.
The ratio for X is 1″=5000′.
The ratio for Y is 1:6.
The ratio for Z is 1″=6′.
The ratio for AA is 1″=60′.
The ratio for BB is 1″=600′.
The ratio for CC is 1″=6000′
Calculation:
The dimension of 10 scales are calculated as below,
Here 1″=10 divisions
The dimension of A is calculated as,
dimension of A=1″10=0.1″
The dimension of B is calculated as,
dimension of B=1″+2 divisions=1.2″
The dimension of C is calculated as,
dimension of C=1″+6 divisions=1.6″
The dimension of D is calculated as,
dimension of D in inches=2″+3divisions=2.3″
The ratio for D is 1″=10′.
dimension of D in feets=2.3″×10=23′
The dimension for E is calculated as,
dimension of E in inches=2″+8.5 divisions=2.85″
The ratio for E is 1″=100′.
dimension of E in feets=2.85″×100=285′
The dimension of 20 scale is calculated as below
Here, 1″=20 divisions
The dimension of F is calculated as,
dimension of F=( 1 ″ 20)×2=(0.05)×2=0.1″
The dimension of G is calculated as,
dimension of G in inches=20 divisions=1″
The ratio for G is 1′=2″.
dimension of G in feets=1″×2=2′
The dimension of H is calculated as,
dimension of H in inches=35 divisions=( 35 20)′′=1.75″
The ratio for H is 1″=20′.
dimension of H in feets=1.75″×20=35′
The dimension of I is calculated as,
dimension of I in inches=57 divisions=( 57 20)′′=2.85″
The ratio for I is 1″=200′.
dimension of I in feets=2.85″×200=570′
The dimension of 30 scale is calculated as below
Here, 1″=30 divisions
The dimension of J is calculated as,
dimension of J=( 1 ″ 30)×3=(0.03)×3=0.1″
The dimension of K is calculated as,
dimension of K in inches=30 divisions=( 30 30)′′=1″
The ratio for K is 1″=3′
dimension of K in feets=1″×3=3′
The dimension of L is calculated as,
dimension of L in inches=45 divisions=( 45 30)′′=1.5″
The ratio for L is 1″=30′.
dimension of L in feets=1.5″×30=45′
The dimension for M is calculated as,
dimension of M in inches=55 divisions=( 55 30)′′=1.833″
The ratio for M is 1″=300′.
dimension of M in feets=1.83″×300=550′
The dimension of N is calculated as,
dimension of N in inches=69 divisions=( 69 30)′′=2.3″
The ratio for N is 1″=3000′.
dimension of N in feets=2.3″×3000=6900′
The dimension for 40 scale is calculated as below
Here, 1″=40 divisions
The dimension of O is calculated as,
dimension of O=( 1 ″ 40)×4=(0.025)×4=0.1″
The dimension of P is calculated as,
dimension of P in inches=40 divisions=( 40 40)′′=1″
The ratio for P is 1″=4′.
dimension of P in feets=1″×4=4′
The dimension of Q is calculated as,
dimension of Q in inches=53 divisions=( 53 40)′′=1.325″
The ratio for Q is 1″=40′.
dimension of Q in feets=1.325″×40=53′
The dimension of R is calculated as,
dimension of R in inches=66 divisions=( 63 40)′′=1.65″
The ratio for R is 1″=400′.
dimension of R in feets=1.65″×400=660′
The dimension of S is calculated as,
dimension of S in inches=74 divisions=( 74 40)′′=1.85″
The ratio for S is 1″=4000′.
dimension of S in feets=1.85″×4000=7400′
The dimension for 50 scale is calculated as below
Here, 1″=50 divisions
The dimension of T is calculated as,
dimension of T=( 1 ″ 50)×5=(0.02)×5=0.1″
The dimension of U is calculated as,
dimension of U in inches=50 divisions=( 50 50)′′=1″
The ratio for U is 1″=5′.
dimension of U in feets=1″×5=5′
The dimension for V is calculated as,
dimension of V in inches=64 divisions=( 64 50)′′=1.28″
The ratio for V is 1″=50′.
dimension of V in feets=1.28″×50=64′
The dimension of W is calculated as,
dimension of W in inches=77 divisions=( 77 50)′′=1.54″
The ratio for W is 1″=500′.
dimension of W in feets=1.54″×500=770′
The dimension of X is calculated as,
dimension of X in inches=83 divisions=( 83 50)′′=1.66″
The ratio for X is 1″=5000′.
dimension of X in feets=1.66″×5000=8300′
The dimensions for 60 scale is calculated below
Here, 1″=60 divisions
The dimension of Y is calculated as,
dimension of Y=( 1 ″ 60)×6=(0.0166)×6=0.1″
The dimension of Z is calculated as,
dimension of Z in inches=60 divisions=( 60 60)′′=1″
The ratio for Z is 1″=6′.
dimension of Z in feets=1″×6=6′
The dimension of AA is calculated as,
dimension of AA in inches=89 divisions=( 89 60)′′=1.483″
The ratio for AA is 1″=60′.
dimension of AA in feets=1.483″×60=89′
The dimension of BB is calculated as,
dimension of BB in inches=115 divisions=( 115 60)′′=1.916″
The ratio for BB is 1″=600′.
dimension of BB in feets=1.916″×600=1150′
The dimension CC is calculated as,
dimension of CC in inches=137.5 divisions=( 137.5 60)′′=2.2916″
The ratio for CC is 1″=6000′
dimension of CC in feets=2.2916″×6000=13750′
Conclusion:
Therefore, the dimension for A is 0.1″, the dimension for B is 1.2″, the dimension for C is 1.6″, the dimension for D is 23′, the dimension for E is 285′, the dimension for F is 0.1″, the dimension for G is 2′, the dimension for H is 35′, the dimension for I is 570′, the dimension for J is 0.1′, the dimension for K is 3′, the dimension for L is 45′, the dimension for M is 550′, the dimension for N is 6900′, the dimension for O is 0.1″, the dimension for P is 4′, the dimension for Q is 53′, the dimension for R is 660′ V, the dimension for S is 7400′, the dimension for T is 0.1″, the dimension for U is 5′, the dimension for V is 64′, the dimension for W is 770′, the dimension for X is 8300′, the dimension for Y is 0.1″, the dimension for Z is 1″, the dimension for AA is 89′, the dimension for BB is 1150′ and the dimension for CC is 13750′.