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a pilot wants to fly on a bearing of 66.4 degrees. by flying due east, he finds that a 57-mph wind, blowing from the south, puts him on course. Find the airspeed of the plane.

Sketch this. He flys east unknown speed. The plane goes at 66.4, unknown speed. The N vector is 57

Isnt tan theta= airspeed/57= tan66.4 ?

solve for airspeed,
airspeed= 57 tan66.4

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