The units of the subway map below are in miles. Suppose the routes between
stations are straight. Station G, not shown on the map, is 3 miles east and 5
miles south of Station A. What is the approximate distance between Station E
and Station G when traveling by subway?
8
0 0 0
e
Фо
B
24
E
-B
4
Lab
14D
KO
PM

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PiaDeveau PiaDeveau · Answer 1 · 2021-10-03T09:37:21+02:00

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

Given:

Distance 3 miles east and 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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