# Trig

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A plane if flying at 200 mph with a heading of 45 degrees and encounters a wind of 100 mph from the west. What is the resulting velocity and heading?

• Trig -

East speed = 100 + 200 sin 45 = 241
North speed = 200 cos 45 = 141

speed = sqrt( 141^2 + 241^2) = 279 mph
tan east of north = 241/141
so angle east of north = 60 degrees

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