$\text { Suppose a plane is flying in the direction } 302 ^ { \circ } \text {. Its speed with respect to the air is } 900$

Multiple Choice

$\text { Suppose a plane is flying in the direction } 302 ^ { \circ } \text {. Its speed with respect to the air is } 900$ kilometers per hour. The wind at the plane's altitude is from the southwest at 100 kilometers per hour (see figure) . What is the true direction of the plane? Round your answer to two decimal places.

A) $38.34 ^ { \circ } \mathrm { N }$ orth of West
B) $77.67 ^ { \circ } \mathrm { N }$ North of West
C) $27.34 ^ { \circ } \mathrm { North }$ of East
D) $4.66 ^ { \circ } \mathrm { North }$ of West
E) $75.67 ^ { \circ }$ North of South