PROBLEM D

In a large city, the road system is set up like a Cartesian plane, where streets are indicated by the number of blocks they are from Street A and Street B. For example, a baseball field is located 8 blocks west of Street B and 27 blocks north of Street A. Treat the intersection of Street A and Street B as the origin of a coordinate system, with East being the positive x-axis. Answer parts (a)-(d). (a) Write the location of the baseball field using rectangular coordinates. (-8,27) (Type an ordered pair.) (b) Write the location of the field using polar coordinates. Use the east direction for the polar axis. Express 0 in degrees. (28.16,106.50) (Type an ordered pair. Round to two decimal places as needed.) (c) A different ballpark is located 10 blocks west of Street B and 32 blocks south of Street A. Write the location of this ballpark using rectangular coordinates. (-10, -32) (Type an ordered pair.) (d) Write the location of this ballpark using polar coordinates. Use the east direction for the polar axis. Express 0 in degrees. IN (Type an ordered pair. Round to two decimal places as needed.)