449 m = 44900 cm
if 2.54 cm = 1 in
then 44900 cm = X in
X = (44900×1)/2.54 = 17677 in
if 1 barleycorn = 1/3 in
then Y barleycorn = 17677 in
Y = (17677×1)/(1/3) = 17677×3 = 53031 ≅ 5×[tex]10^{4}[/tex] barleycorns
Answer:
c. 5 × 10⁴ barleycorn
Explanation:
It is given that:
1 barleycorn = 1/3 of an inch
Convert 1 barleycorn into meter (m) units
1 inch = 2.54 cm
since 100 cm = 1 m
1 inch = 0.0254 m
Therefore 1/3 of an inch = [tex]\frac{1}{3} *0.0254 = 0.00847 m[/tex]
therefore:
1 barleycorn = 8.47*10⁻³ m
The height of the empire state building of 449 m would be:
[tex]=\frac{1\ barleycorn*449 m}{8.47*10^{-3} m} = 5.3*10^{4}\ barleycorn[/tex]
