The aircraft covers an air distance of 189 NAM in 30 min, so its True airspeed is: TAS = NAM / Time = 189 NM / 0.5 hr = 378 kt.
Also, experiencing a headwind of 30 kt during climb, its Groundspeed is: GS = TAS - Headwind component = 378 kt - 30 kt = 348 kt.
Thus, the ground distance covered during climb will be: NGM = GS x Time = 348 kt x 0.5 hr = 174 NM.
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