Answer: 10.8° north of east
Step-by-step explanation:
The plane is traveling north with a speed of 340 km/h and the wind is blowing west with a speed of 65 km/h.
tan(θ) = opposite/adjacent
Opposite = 65 km/h
Adjacent = 340 km/h
tan(θ) = 65/340
θ = arctan(65/340)
θ = arctan(0.19)
θ = 10.8° north of east
The plane would want to go northeast because the east is in the opposite direction of the west.