mean radius R = 7926*1.6093/2 = 6378 km to nearest km.
Angle C = 90°+30° = 120°
legnth AB = 6378 + 2000 = 8378 km
sin(A)/6378 = sin(C)/8378 so sin(A) = sin(C)*6378/8378 = sin(120°)*6378/8378 = 0.69529
Angle A = sin-1(0.69529) ≈ 41°
Angle B = 180° - C - A = 180° - 120° - 41° = 19°
B/360° = t/2 where t is time in hours
t = 2*19/360 hrs = 0.19hrs
t = 6.333... mins = 6 mins 20 secs
12 noon - 6.33 mins = 11.53am + 40 secs.
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