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

ID: 3037177 • Letter: T

Question

The grid below shows the approximate locations of some popular Chicago destinations as 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. Art 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 V Willis (Sears) Tower W Lily is at Buckingham Fountain and wants to meet David, who is at Millennium Park, for lunch. They want to meet at the landmark that is closet to the midpoint of their locations. At which landmark should they meet?

Explanation / Answer

Taking the x-axis as the horizontal line through B and the y-axis as the vertical line through R the coordinates of

Lily (Buckingham Fountain ) are (5,-5) and those of David (Millennium Park) are (2,1). So the midpoint of interest

is (3.5,-2).So the nearest landmark is A (Art Institute)