Question

The Benjamin Franklin Parkway in Philadelphia, PA, runs diagonally from City Hall to the Philadelphia Museum of Art. In the scale map below, City Hall is located at (11.4, 1.2), and the Museum of Art is located at (1.5, 10.8). Each unit is equivalent to 500 feet. To the nearest foot, how far apart are City Hall and the Museum of Art?

Answer 1

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

$d= \sqrt((x_2-x_1)^2+(y_2-y_1)^2)$   we can find the distance by substituting the given point coordinates

$d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79$

in feet, we are told that a unit is 500 ft

then 13.79 will be 500*13.79

=6895.107ft

=6895ft