Question

Use the map shown below to find the distance between cities A and B to the nearest tenth.

Answer 1

Check the picture below.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad A(\stackrel{x_2}{0}~,~\stackrel{y_2}{0})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ BA=√((~~0 - (-3)~~)^2 + (~~0 - 6~~)^2) \implies BA=√((0 +3)^2 + (0 -6)^2) \\\\\\ BA=√(( 3 )^2 + ( -6 )^2) \implies BA=√( 9 + 36 ) \implies BA=√( 45 )\implies BA\approx 6.7`