Question 40Navigation Problems

70% to pass

You observe the lower limb of the Sun at a sextant altitude (hs) of 62°22.2' on 6 June. The index error is 1.2' on the arc. The height of eye is 28 feet (8.5 meters). What is the observed altitude (Ho)?

A 62°36.7'
B 62°31.4'
C 62°26.9'
D 62°24.8'
AI Explanation

The correct answer is B) 62°31.4'. To calculate the observed altitude (Ho), we need to apply the index error to the sextant altitude (hs) and then add the correction for the height of eye. The sextant altitude (hs) is 62°22.2', and the index error is 1.2' on the arc. Therefore, the true altitude (ht) is hs + index error, which equals 62°22.2' + 1.2' = 62°23.4'. The correction for the height of eye (28 feet or 8.5 meters) is approximately 0.8'. Adding this to the true altitude (ht) gives the observed altitude (Ho) of 62°23.4' + 0.8' = 62°31.4'. The other options are incorrect because they do not properly account for the index error and the height of eye correction.

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