Moon problem

 
On Jan. 10, 2002, your DR position is 10° 05’ N, 70° 05’ W. Your height of eye is 14 feet and your sextant has an index error of 1.2’ on the arc. Your watch is set to GMT when you shoot the upper limb of the moon at 08:10:14 and get a sextant reading (Hs) of 33° 20’. Reduce the sight and plot the LOP. (Nautical Almanac data for 2002, and every year from 1999 to 2025, is available online at www.thenauticalalmanac.com).

V factor: +3.8
GHA (hrs.)
GHA (min.)
V corr.
GHA
ass. long.
LHA

 
  124° 55.0’
002° 26.5’
+         0.7’
127° 22.2’
– W 70° 22.2’ 
57° 00.0’
     
Dec. (hrs)
D corr.
Dec.
  N 22° 58.5’
–          0.9’
N 22° 57.6’
     
HP factor: 60.3
Hs
Dip
IC
Ha
Alt. corr.
HP corr.
UL corr.
Ho
   
33° 20.0’
–      3.6’
–      1.2’
33° 15.2’
+     57.4’
+     05.1’
–     30.0’
33° 47.7’
     
Assumed position:    10° N, 70° 22.2’ W
     
From HO 249:    
Hc
Table 5 corr.
Hc
Ho
  34° 13’
–        03’
34° 10.0’
– 33° 47.7’

ANSWER:

Intercept 22.3’ miles away
Z = 070°
Zn = 290°