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Object of known size (the Moon): 3,474.8 km
Angle subtended: 8.8 mils

Range = 3,474.8 km/Tan 8.8 mil = 394,853 km

Actual distance to the moon at the time of the image = 395,228km

395,228 - 394,853 = 375 km
375/395,228 = 0.0009 = 0.1% error (lucky)
 
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