Question

An airplane is flying at an airspeed of 500 km/hr in a wind blowing at 50 km/hr toward the southeast. In what direction should the plane head to end up going due east? (Round your answer to two decimal places.)What is the airplane's speed relative to the ground? (Round your answer to the nearest whole number.)
50 @ SE = <35.36, -35.36>
You want a direction θ such that
500 sinθ-35.36 = 0
sinθ = 35.36/500
θ = E 4.05° N

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