Question

On a world globe, the distance between city A and city B, two cities that are actually 5616 miles apart, is 8.5 inches. On the same globe, how far apart are city C and city D, two cities that are actually 5041 Miles apart?

Answer 1

Let that be x

• Ratio remains same

`\\ \rm\bull\rightarrowtail (8.5)/(5616)=(x)/(5041)`

`\\ \rm\bull\rightarrowtail 0.0015=(x)/(5041)`

`\\ \rm\bull\rightarrowtail x=0.0015(5041)`

`\\ \rm\bull\rightarrowtail x=7.6in`

Answer 2

the distance between city C and D is 7.6 inches

given:

• city A and city B is 8.5 inches, actually 5616 miles apart.

• city C and city D is x inches, actually 5041 miles apart

solving similarities:

`\hookrightarrow \sf (5616 )/(8.5 ) = (5041 )/(x)`

change sides

`\hookrightarrow \sf 5616x = 5041(8.5)`

simplify

`\hookrightarrow \sf 5616x = 42848.5`

change sides

`\hookrightarrow \sf x = (42848.5)/(5616)`

simplify

`\hookrightarrow \sf x = 7.62972`

rounded to nearest one decimal place

`\hookrightarrow \sf x = 7.6`