Answer:
6895ft
Step-by-step explanation:
Given data
The coordinates
City Hall is located at (11.4, 1.2) x1,y1= 11.4, 1.2
Museum of Art is located at (1.5, 10.8) x2,y2= 1.5, 10.8
Required:
the distance between the two points
Applying the Pythagorean theorem as
[tex]d= \sqrt((x_2-x_1)^2+(y_2-y_1)^2)[/tex] we can find the distance by substituting the given point coordinates
[tex]d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79[/tex]
in feet, we are told that a unit is 500 ft
then 13.79 will be 500*13.79
=6895.107ft
=6895ft
