The grid below shows the approximate locations of some popular Chicago destinati

Question

The grid below shows the approximate locations of some popular Chicago destinations b they relate to the center of the city (at State and Madison). Each has been labeled according to the chart at left. Use this grid to complete problems 22-24 on the next page; remember to show all your calculations using aerial distance. An Institute of Chicago A Buckingham Fountain B Chicago Theater H Civic Opera House O Chicago Cultural Center C Daley Center (Picasso) D Harold Washington Library L Merchandise Mart M Millennium Park K Navy Pier N Petrillo Music Shell R Pritzker Pavilion P Symphony Center S Tribune Towers T Willis (Scars) Tower W If Anthony wants to end his day at Navy Pier, would it be more efficient to go to the Chicago Theater and then Millennium Park or to Millennium Park and then the Chicago Theater?

Explanation / Answer

coordinates of chicago theatre H = ( 0,3)

cordinates of Millenium park K = ( 2,1)

coordinates of navy pier N = ( 10,9)

calculating each distance

start from H then go to K and then N total distance = distance = sqrt ( x2-x1)^2 + (y2-y1)^2 = 11.66

start from K then go to H and then N distance = sqrt ( 2-10)^2 +(1-9)^2 = 11.31

so starting from H(chicago thetare) is more efficient

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