The angle theta has to be acos(0.8).I did now the same calculation on the other computer and the VD is close to yours indeed : 1.94943 accurate and 1.948536 approximate. Since I was 100 miles away I don't know what happened. I am sorry.
NEC 2014 art. 695.7 Voltage Drop. A) Starting 15% start. B) Running not more than 5% voltage drop from rated motor voltage at 115% load.
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