(a)

Wrigley Field in Chicago is located at West Addison, which is blocks west of State Street and blocks north of Madison Street.

Intersection of Madison Street and State Street is the origin of a coordinate system.

East is being treated as positive -axis.

Find location of the Wrigley Field using rectangular coordinates.

As Wrigley Field is blocks west of State Street and blocks north of Madison Street.

blocks west of State Street, it means that -coordinates is .

Therefore, Cartesian co-ordinates of the that point is .

(b)

Cartesian co-ordinates of the Wrigley Field is .

Conversion formulae: and .

Substitute in the conversion formulae to determine the polar coordinates.

and .

Polar coordinates of the Wrigley Field location is .

(c)

U.S. Cellular Field, home of the white sox, is located at the and Princeton, which is  blocks west of State Street and blocks south of Madison Street.

East is being treated as positive -axis.

Find the Location of the U.S. Cellular Field using rectangular coordinates.

blocks west of State Street, it means that -coordinates is .

blocks south of Madison Street, means that -coordinates is .

Therefore, Cartesian co-ordinates of U.S. Cellular Field, is .

(d)

 Cartesian co-ordinates of U.S. Cellular Field is .

Conversion formulae: and .

Substitute in the conversion formulae to determine the polar coordinates.

and .

Polar coordinates of the Wrigley Field location is .

(a) .

(b) .

(c) .

(d) .