Determine the Angle $\theta$ Through Which the Axes Are Rotated $5 x ^ { 2 } - 10 x y + 12 y ^ { 2 } + ( 5 \sqrt { 11 } - 10 ) x - ( 7 \sqrt { 11 } + 11 ) y = 93$

Multiple Choice

Determine the angle $\theta$ through which the axes are rotated.Round your answer to two decimal places. $5 x ^ { 2 } - 10 x y + 12 y ^ { 2 } + ( 5 \sqrt { 11 } - 10 ) x - ( 7 \sqrt { 11 } + 11 ) y = 93$

A) $\theta = 78.87 ^ { \circ }$
B) $\theta = 77.87 ^ { \circ }$
C) $\theta = 79.87 ^ { \circ }$
D) $\theta = 80.87 ^ { \circ }$
E) $\theta = 81.87 ^ { \circ }$