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Old 22nd Aug 2003, 22:39
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Scale = Chart length / Earth Length

Chart length = 83 cm
Earth length is departure = ch. long (minutes) x cos lat = 16 x 60 x cos 34°23' = 792 nm

change to centmetres : 792 x 1852 x 100 = 146,728,000 cm

Scale is 83 : 146,728,000 however should be expressed as 1 : something so divide both sides by 83. Scale is then 1 : 1,768,000.

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For scale at the equator divide the denominator of the scale (the "1,768,000" bit) by cos of the latitude.

1,768,000 / cos 34°23' = 2,142,000. Scale is 1: 2,142,000

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They are at the same latitude, rhumb-line track must be 090° or 270°. B is further East so track is 090°.

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The rhumb-line track is 090°. If you draw a diagram the great-circle track at A is greater than the rhumb-line track. The difference is conversion angle.

C.A. = 0.5 x ch.long x sin mean lat = 0.5 x 16° x sin 34°23' = 4.5°

90° + 4.5° = 94.5°

Any better answer requires diagrams, so you should contact your training povider. Best of luck!

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Gen Nav instructor, BCFT
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