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 4 blocks west of Street B and 35 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). C (a) Write the location of the baseball field using rectangular coordinates. (-4,35) (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. (35.23,96.52) (Type an ordered pair. Round to two decimal places as needed.) (c) A different ballpark is located 6 blocks west of Street B and 26 blocks south of Street A. Write the location of this ballpark using rectangular coordinates. (-6, -26) (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. (Type an ordered pair. Round to two decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 4 blocks west of Street B and 35 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).
G
(a) Write the location of the baseball field using rectangular coordinates.
(-4,35) (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.
(35.23,96.52)
(Type an ordered pair. Round to two decimal places as needed.)
(c) A different ballpark is located 6 blocks west of Street B and 26 blocks south of Street A. Write the location of this ballpark using rectangular coordinates.
(-6,-26) (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.
(Type an ordered pair. Round to two decimal places as needed.)
Transcribed Image Text: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 4 blocks west of Street B and 35 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). G (a) Write the location of the baseball field using rectangular coordinates. (-4,35) (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. (35.23,96.52) (Type an ordered pair. Round to two decimal places as needed.) (c) A different ballpark is located 6 blocks west of Street B and 26 blocks south of Street A. Write the location of this ballpark using rectangular coordinates. (-6,-26) (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. (Type an ordered pair. Round to two decimal places as needed.)
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