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A certain corner of a room is selected as the origin of arectangular coordinate

ID: 1758768 • Letter: A

Question

A certain corner of a room is selected as the origin of arectangular coordinate system. If a fly is crawling on an adjacentwall at a point having coordinates (2.4, 0.5), where the units aremeters, what is the location of the fly in polar coordinates? (r, )=(  answer    ,    answer   ) A certain corner of a room is selected as the origin of arectangular coordinate system. If a fly is crawling on an adjacentwall at a point having coordinates (2.4, 0.5), where the units aremeters, what is the location of the fly in polar coordinates? (r, )=(  answer    ,    answer   )

Explanation / Answer

Given that (x, y) = (2.4, 0.5) Now r = [x2 + y2]            =[(2.4)2 + (0.5)2]            = 2.45 And = tan-1[y / x]            =tan-1[(0.5) / (2.4)]            =0.205 rad Then (r , ) = (2.45, 0.205 rad)   (or)                   = (2.45 , 11.8o)

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