The east component of the plane's speed is 600sin55 = 491.49 mi/h
The north component of the plane's speed is 600cos55 = 344.15 mi/h
The east crosswind adds 50 mi/h to the plane's east component speed: 491.49+50 = 541.49 mi/h
The north speed component remains unchanged.
Then, the plane's actual speed is
sqrt(344.15^2 + 541.49^2) = 641.6 mi/h
the direction is found by
tan^-1(541.49/344.15) = 58 degrees
So, the actual direction is N58E
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