Solve the Problem $51 ^ { \circ }$ West of North At

Multiple Choice

Solve the problem.
-An airplane is flying in the direction $51 ^ { \circ }$ west of north at $660 \mathrm {~km} / \mathrm { hr }$ . Find the component form of the velocity of the airplane, assuming that the positive $x$ -axis represents due east and the positive $y$ -axis represents due north.

A) $\langle - 442.4,489.8 \rangle$
B) $\langle - 0.7771,0.6293 \rangle$
C) $\langle - 415.4,512.9 \rangle$
D) $\langle - 512.9,415.4 \rangle$