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

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Definitions:

Piedmont Glacier

A broad glacier that forms when an ice sheet or valley glacier spreads out as it moves into less confined topography.

Continental Ice Sheet

A large mass of ice, including glaciers, that covers a large part of a continent.

Shoreline Glacier

A glacier that extends to the sea at its terminus, often calving icebergs into the water.

Glaciers

Large, slow-moving masses of ice that form from the accumulation and compaction of snow on mountains or near the poles.