# Discuss: Different Coordinate Systems As was noted in the overview of the chapter, certain curves are more naturally described in one coordinate system than in another. You need to give directions to your house to a taxi driver. You need to give directions to your house to a homing pigeon.

Discuss: Different Coordinate Systems As was noted in the overview of the chapter, certain curves are more naturally described in one coordinate system than in another. In each of the following situations, which coordinate system would be appropriate: rectangular or polar? Give reasons to support your answer.
a) You need to give directions to your house to a taxi driver.
b) You need to give directions to your house to a homing pigeon.

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Step 1
a) The appropriate coordination system to give direction of house to a taxi driver.
Answer: The rectangular coordination system is the most appropriate system to give direction of house to a taxi driver.
Explanation:
The rectangular coordination system is suitable to give direction of house to a taxi driver because in rectangular coordination system describing a location is like to say that house is at the corner of 4-th street and 3-rd Avenue that can easily help the driver to find the desired location, The rectangular coordination system specifies the location with respect to grid pattern.
Conclusion
Hence, the rectangular coordination system is the most appropriate system to give direction of house to a taxi driver.
b)
To find:
The appropriate coordination system to give direction of house to a homing pigeon.
Answer: The polar coordinate system is most appropriate system to give direction of home to a homing pigeon.
Explanation:
The polar coordinate system is suitable to give direction of home to a homing pigeon because the polar coordinate system specifies the location giving distance and direction from a fixed reference point. So, to give direction to flying objects like airplane, hot air ballon or homing pigeon it is like to say the home is 2 mile southwest to the city hall. That can help the homing pigeon to find the location easily.
Conclusion:
Hence, the polar coordinate system is most appropriate system to give direction of home to a homing pigeon.