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

Answer:

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:

$\hookrightarrow \sf \dfrac{5616 }{8.5 } = \dfrac{5041 }{x}$

change sides

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

simplify

$\hookrightarrow \sf 5616x = 42848.5$

change sides

$\hookrightarrow \sf x = \dfrac{42848.5}{5616}$

simplify

$\hookrightarrow \sf x = 7.62972$

rounded to nearest one decimal place

$\hookrightarrow \sf x = 7.6$

Answer 2

Let that be x

• Ratio remains same

$\\ \rm\bull\rightarrowtail \dfrac{8.5}{5616}=\dfrac{x}{5041}$

$\\ \rm\bull\rightarrowtail 0.0015=\dfrac{x}{5041}$

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

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