When a coordinate grid is superimposed on a map of Harrisburg, the high school is located at (17, 21) and the town park is located at (28, 13). If each nit on the grid equals how many miles apart are the high school and the park? Can you explain?
+23254 There are two answers: one if you take the direct distance between the two locations and the other if you walk along the streets.
The direct answer: use the distance formua: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
with (x1, y1) = (17, 21) ---> x1 = 17 and y1 = 21
and (x2, y2) = (28, 13) ---> x2 = 28 and y2 = 13
---> d = sqrt( (28 - 17)2 + (13 - 21)2 ) ---> d = sqrt( 112 + (-8)2 ) ---> d = sqrt( 121 + 64 ) = sqrt(185)
which is a distance of about 13.6 blocks
The other answer by walking along the sidewalks: going from 17 to 28 = 28 - 17 = 11 blocks
and going from 21 to 13 = 21 - 13 = 8 blocks
for a total of 11 + 8 = 19 blocks.
