A Jet Heads in the Direction N $30 ^ { \circ }$

Multiple Choice

A jet heads in the direction N $30 ^ { \circ }$ E at a speed of $400$ mi/h. If the jet experiences a $20$ mi/h crosswind flowing due east, find the true velocity w

A) $w = 200 \mathbf { i } + 420 \sqrt { 3 } \mathbf { j }$
B) $w = 420 \mathbf { i } + 200 \sqrt { 3 } \mathbf { j }$
C) $w = 200 \mathbf { i } + 220 \mathbf { j }$
D) $w = 220 \mathbf { i } + 200 \sqrt { 3 } \mathbf { j }$
E) none