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Solve the Problem B) C) D)

Question 291

Multiple Choice

Solve the problem.
-A rectangle has its center at the origin. It has two sides of length 4 a which are parallel to the horizontal axis and two sides of length 2 a parallel to the vertical axis. Find polar coordinates of the vertices.


A) ≈(2a5,63.4∘) ,(2a5,116.6∘) ,(2a5,243.4∘) ,(2a5,296.6∘) \approx \left( 2 a \sqrt { 5 } , 63.4 ^ { \circ } \right) , \left( 2 a \sqrt { 5 } , 116.6 ^ { \circ } \right) , \left( 2 a \sqrt { 5 } , 243.4 ^ { \circ } \right) , \left( 2 a \sqrt { 5 } , 296.6 ^ { \circ } \right)
B) ≈(a5,30∘) ,(a5,150∘) ,(a5,210∘) ,(a5,330∘) \approx \left( a \sqrt { 5 } , 30 ^ { \circ } \right) , \left( a \sqrt { 5 } , 150 ^ { \circ } \right) , \left( a \sqrt { 5 } , 210 ^ { \circ } \right) , \left( a \sqrt { 5 } , 330 ^ { \circ } \right)
C) ≈(a5,26.6∘) ,(a5,153.4∘) ,(a5,206.6∘) ,(a5,333.4∘) \approx \left( a \sqrt { 5 } , 26.6 ^ { \circ } \right) , \left( a \sqrt { 5 } , 153.4 ^ { \circ } \right) , \left( a \sqrt { 5 } , 206.6 ^ { \circ } \right) , \left( a \sqrt { 5 } , 333.4 ^ { \circ } \right)
D) ≈(2a5,26.6∘) ,(2a5,153.4∘) ,(2a5,206.6∘) ,(2a5,333.4∘) \approx \left( 2 \mathrm { a } \sqrt { 5 } , 26.6 ^ { \circ } \right) , \left( 2 \mathrm { a } \sqrt { 5 } , 153.4 ^ { \circ } \right) , \left( 2 \mathrm { a } \sqrt { 5 } , 206.6 ^ { \circ } \right) , \left( 2 \mathrm { a } \sqrt { 5 } , 333.4 ^ { \circ } \right)

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