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Multiply 192 by 15, by common logs. (2) Divide 694 by 327, by common logs.

(3)

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5 S.E. by E. 8 7 N.E. by E. A current set the

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ship by compass N. W.

1 Dist. 20 miles from the time the departure was taken to the end of the day.

Correct the courses for leeway and variation, find the latitude and longitude in, and the course and distance made good during the 24 hours.

(4) 1870, January 2nd, in longitude 120° 30′ W., the observed meridian altitude of the Sun's 1.1. was 46° 30′, bearing 1′ 40′′, height of the eye 16 feet.

N., index error
Find the latitude.

(5) In latitude 22° 19′, the departure made good was 102 miles. Required the difference of longitude by parallel sailing.

(6) Required the course and distance from A to B, by Mercator's sailing.

Lat. A..24° 39′ N.

Lat. B..36 15 N.

Long. A..140° 15′ E.

Long. B..127 20 E.

ADDITIONAL FOR ONLY MATE.

(7) 1870, May 9th. Find the A. M. and P. M. tides at Cape Clear, Cuxhaven, and Ramsgate.

(8) 1870, September 2nd, at 6h. 42m. P. M. apparent time at ship, in lat. 51° 32′ N., long. 3° 26' E., the magnetic amplitude of the Sun was W. 36° 38′ N. Find the

variation.

(9) 1870, January 6th, P. M. at ship, in lat. 24° 12′ S. the observed altitude of the Sun's 1. 1. was 12° 17′ 20′′, index error + 1′ 10′′, height of the eye 17 feet, time by chronometer 6d. 9h. 14m. 10s., which was slow on Greenwich mean time 5m. 50s., on October 30th, 1869, and losing 25.6 daily. Find the longitude.

ADDITIONAL FOR FIRST MATE.

(10) 1870, May 24, at 4h. 10m. P. M. mean time at ship, in lat. 34° 22′ S., long. 18° 24′ E., the Sun's bearing by compass was N. 62° 50′ W., the observed altitude of the Sun's 1. 1. was 23°, height of the eye 12 feet. Find the variation.

(11) 1870, January 27th, P. M. at ship, in lat. by account 42° 40′ S., long. 30° 30′ W., the observed altitude of the Sun's 1. 1. near the meridian North of the observer was 64° 59′ 27′′, index error + 30", height of the eye 24 feet, time by watch 27d. 2h. 25m. 21s., which was fast on apparent time at ship 1h. 59m. 47s., and the difference of longitude since the error was taken, to the westward, was 17 miles. Find the true latitude.

ADDITIONAL FOR MASTER.

(12) 1870, February 14th, the observed meridian altitude of the star Vega was 27° 41′ 10′′, bearing N., index error +3', height of the eye 17 feet. Find the latitude.

PAPER II.

FOR SECOND MATE.

(1) Multiply 374 by 21, by common logs.
(2) Divide 4765 by 2976, by common logs.

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(4) 1870, February 19th, in longitude 49° 50′ E., the observed meridian altitude of the Sun's 1.1. was 40° 10′ 20′′, bearing N., index error +4′ 16′′, height of the eye 20 feet. Find the latitude.

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(5) In latitude 23° 30', the departure made good was 103 miles. Required the d.long. by parallel sailing.

(6) Required the course and distance by Mercator's sailing, from A to B.

A-Lat. 37° 26' S.

B-Lat. 29 15 S.

A-Long. 24° 13′ W.

B-Long. 3 17 E.

ADDITIONAL FOR ONLY MATE.

(7) 1870, July 23rd. Required A. M. and P. M. tides at Spithead, Banff, and Greenock.

(8) 1870, November 7th, at 6h. 43m. P. M., apparent time at ship, in latitude 32° 34′ N., longitude 23° 13′ E., the Sun's magnetic amplitude was W. 7° 32′ S. Find the true amplitude and variation.

(9) 1870, March 20th, P. M. at ship, in latitude 50° 10′ S. the observed altitude of the Sun's 1. 1. was 15° 40′ 20′′, height of the eye 14 feet, time by chronometer 19d. 19h. 50m. 4s., which was fast 10m. 24s. for mean noon at Greenwich, on the 20th January, and losing daily 4.4. Find the longitude by chronometer.

ADDITIONAL FOR FIRST MATE.

(10) 1870, July 31st, mean time at ship 7h. 19m. a. M., in latitude 41° 3' N., longitude 71° 45′ W., the Sun's bearing was S. 81° 36' E., and at the same time the altitude of the Sun's 1. 1. was 26° 30', height of the eye 20 feet. Find the variation of the compass.

(11) 1870, August 10th, A. M. at ship, in latitude by account 43° N., longitude 144° 12′ E., the observed altitude of the Sun's 1. 1. near the meridian, South of the observer, was 62° 35′ 10′′, index error + 2′ 20′′, height of the eye 20 feet, time by watch 10h. 56m. 40s., which was 50m. 10s. slow on apparent time at ship, but since the error was determined the d.long. made to the E. has been 15 miles. Find the latitude.

ADDITIONAL FOR MASTER.

(12) 1870, February 21st, the observed meridian altitude of the star Procyon, bearing S., was 29° 46′ 50′′, height of the eye 15 feet. Find the latitude.

PAPER IV.

FOR SECOND MATE.

(1) Multiply 2014 by 4, by common logs. (2) Divide 495 by 23, by common logs.

(3)

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1 S.E. by S. 5 7 S.W. by S. 1 Variation 22 pts. E.

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A current set the ship by compass S.W. W.

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(4) 1870, April 21st, in longitude 16° 30′ E., the observed

meridian altitude of the Sun's 1. 1. was 30° 16' 10", bearing N., index error + 1'15", height of the eye 18 feet. Find the latitude.

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