On 22 August your 1852 zone time DR position...

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Question 1 of 2066636eea28f7522a1c51ace4

On 22 August your 1852 zone time DR position is LONG 155° 54.0' E. At that time you observe Polaris with a sextant altitude (hs) of 27° 36.9'. The chronometer time of the sight is 08h 54m 06s, and the chronometer error is 02m 20s fast. The index error is 3.6' off the arc, and the height of eye is 61.5 feet. What is your latitude by Polaris?

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🔍 Key Concepts

• Conversion of sextant altitude (hs) to observed altitude (Ho) including index correction and dip for 61.5 ft • Use of chronometer error to get the correct UTC of the sight, then finding LHA Aries and the proper Polaris correction from the Nautical Almanac • Relationship between Ho of Polaris and latitude, including the small corrections from the Polaris tables for date and LHA Aries

💭 Think About

• After you apply index correction and dip to hs, is your Ho reasonable for a latitude somewhere around the multiple‑choice options (mid‑20s North)? • Once you find the correct time of the sight in UTC, can you determine the approximate LHA Aries and see which line in the Polaris table you should be using? • When you apply the Polaris corrections from the Almanac to your Ho, does the result move your latitude slightly up or down from Ho, and by about how much?

✅ Before You Answer

• Be sure the index correction sign is handled correctly for 3.6' "off the arc" (does that mean you add or subtract from hs?) • Double‑check the dip correction for 61.5 ft and use the correct sign (it is always in the same direction: verify which way). • Confirm you use the correct line in the Polaris table for 22 August and for your computed LHA Aries range, and apply each correction term with the right sign.

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