Question

The units of the subway map below are in miles. Suppose the routes between

Answer 1

Distance between Station E  and Station G  is 8.48 miles (Approx.)

Given:

Distance 3 miles east

Distance 5 miles south

Find:

Distance between Station E  and Station G

Computation:

Co-ordinate of Point E = (-3 , 1)

Co-ordinate of Point G is 3 mile east and 5 mile south

So,

Co-ordinate of Point G = (3 , -5)

Distance between two point = √(x2 - x1)² + (y2 - y1)²

So,

Distance between Station E  and Station G  = √(3 + 3)² + (-5 - 1)²

Distance between Station E  and Station G  = √(6)² + (-6)²

Distance between Station E  and Station G  = √36 + 36

Distance between Station E  and Station G  = √72

Distance between Station E  and Station G  = 8.48 miles (Approx.)

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