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Solve the Problem B) C) D)

Question 81

Multiple Choice

Solve the problem.
-A rectangle has its center at the origin. It has two sides of length a which are parallel to the horizontal axis and two sides of length 5 a parallel to the vertical axis. Find polar coordinates of the vertices.


A) ≈(a26,11.3∘) ,(a26,168.7∘) ,(a26,191.3∘) ,(a26,348.7∘) \approx \left( a \sqrt { 26 } , 11.3 ^ { \circ } \right) , \left( a \sqrt { 26 } , 168.7 ^ { \circ } \right) , \left( a \sqrt { 26 } , 191.3 ^ { \circ } \right) , \left( a \sqrt { 26 } , 348.7 ^ { \circ } \right)
B) ≈(a262,78.7∘) ,(a262,101.3∘) ,(a262,258.7∘) ,(a262,281.3∘) \approx \left( \frac { a \sqrt { 26 } } { 2 } , 78.7 ^ { \circ } \right) , \left( \frac { a \sqrt { 26 } } { 2 } , 101.3 ^ { \circ } \right) , \left( \frac { a \sqrt { 26 } } { 2 } , 258.7 ^ { \circ } \right) , \left( \frac { a \sqrt { 26 } } { 2 } , 281.3 ^ { \circ } \right)
C) ≈(a26,78.7∘) ,(a26,101.3∘) ,(a26,258.7∘) ,(a26,281.3∘) \approx \left( a \sqrt { 26 } , 78.7 ^ { \circ } \right) , \left( a \sqrt { 26 } , 101.3 ^ { \circ } \right) , \left( a \sqrt { 26 } , 258.7 ^ { \circ } \right) , \left( a \sqrt { 26 } , 281.3 ^ { \circ } \right)
D) ≈(a262,11.3∘) ,(a262,168.7∘) ,(a262,191.3∘) ,(a262,348.7∘) \approx \left( \frac { a \sqrt { 26 } } { 2 } , 11.3 ^ { \circ } \right) , \left( \frac { a \sqrt { 26 } } { 2 } , 168.7 ^ { \circ } \right) , \left( \frac { a \sqrt { 26 } } { 2 } , 191.3 ^ { \circ } \right) , \left( \frac { a \sqrt { 26 } } { 2 } , 348.7 ^ { \circ } \right)

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