USCG Navigation Problems: Master's License

This is an interactive test. Read each question and select the proper answer by clicking on the appropriate answer. If a "Y" appears, your choice is correct. If a "N" appears, more study may be in order.


68: The river will be temporarily closed to navigation at mile 531.3 AHP due to repairs to the bridge. This will occur at 1300, 5 January, and last for six hours. What minimum speed over the ground must you make from Red River Landing Gage in order not to be delayed?


179: In order to check your compasses, you sight North Dumpling Island Light in line with Latimer Reef Light bearing 077°pgc. The helmsman was steering 307°pgc and 320° per standard magnetic compass at the time. Which statement is TRUE?


211: You decide to use the 9960-Y and 9960-W rates. At 1915,
you obtain the following readings:

9960-Y-43936.0
9960-W-14653.3

What is your 1915 position?


230: At 2123, your position is LAT 37°20.0'N, LONG 76°03.0'W. What is your distance offshore of Savage Neck?

    Y a. 1.7 miles
    N b. 2.6 miles
    N c. 3.4 miles
    N d. 4.6 miles

400: Your vessel receives a distress call from a vessel reporting her position at LAT 5°24'N, LONG 31°16'W. Your position is LAT 2°39'S, LONG 39°24'W. Determine the distance from your vessel to the vessel in distress by Mercator sailing.

    N a. 669.3 miles
    Y b. 688.7 miles
    N c. 699.2 miles
    N d. 712.9 miles

468: Determine the great circle initial course from LAT 07°05.0'N, LONG 81°45.0'W to LAT 21°15.0'N, LONG 157°40.0'W.

    N a. 128°T
    N b. 217°T
    Y c. 290°T
    N d. 326°T

483: The great circle distance from LAT 25°50'N, LONG 77°00'W to LAT 35°56'N, LONG 06°15'W is 3616 miles, and the initial course is 061.7°T. The position of the vertex is LAT 37°34.9'N, LONG 25°59.0'W. The difference of longitude from the vertex to a point (X) on the great circle track is 10°W. Determine the latitude which intersects the great circle at point (X).

    N a. 37°02.5'N
    Y b. 37°09.5'N
    N c. 37°15.6'N
    N d. 37°21.2'N

485: Determine the great circle distance and initial course from LAT 08°53.0'N, LONG 79°31.0'W to LAT 33°51.5'S, LONG 151°13.0'E.

    N a. 7809 miles, 247.0°T
    N b. 7763 miles, 247.0°T
    Y c. 7635 miles, 233.9°T
    N d. 7618 miles, 230.3°T

500: Your position is LAT 40°59.0'N, LONG 73°06.2'W. What is the course per standard magnetic compass to New Haven Harbor Lighted Whistle Buoy "NH"?

    Y a. 052°
    N b. 049°
    N c. 046°
    N d. 035°

598: At 1132, 24 July, you pass Natchez Beam Lt. (mile 364.8 AHP). What is your ETA off the Memphis Gage if you average 8.0 mph?

    N a. 2345, 25 July
    N b. 0525, 26 July
    Y c. 0947, 26 July
    N d. 2215, 26 July

613: On 21 November, at 2100 zone time, you depart LAT 32°12.0'N, LONG 69°26.0'W enroute to LAT 12°05.0'N, LONG 7°32.0'W. The distance is 3,519 miles, and the average speed will be 12.5 knots. What is the zone time of arrival?

    N a. 1330, 3 December
    N b. 1530, 3 December
    Y c. 1830, 3 December
    N d. 1530, 4 December

668: A great circle track would be most advantageous when compared to the rhumb line track on which route? (Use gnomonic tracking chart WOXZC5274)

    N a. Cayenne (LAT 4°40'N, LONG 52°15'W) to Sao Tome (LAT 0°00', LONG 6°45'E)
    Y b. Palm Beach, FL, to the English Channel
    N c. Natal, Brazil, to Reykjavik, Iceland
    N d. Recife, Brazil, to Monrovia

816: On 15 November , your 0813 zone time (ZT) fix gives you a position of LAT 22°30.0'N, LONG 67°28.0'W. Your vessel is on course 164°T, and your speed is 13.5 knots. Local apparent noon (LAN) occurs at 1215 ZT, at which time a meridian altitude of the Sun's lower limb is observed. The observed altitude (Ho) for this sight is 49°46.0'. What is the latitude at 1200 ZT?

    Y a. 21°42.5'N
    N b. 21°39.3'N
    N c. 21°36.0'N
    N d. 21°32.8'N

1000: On 18 May , your 1030 ZT DR position is LAT 18°30'N, LONG 62°31'W. You are on course 286°T, speed 24 knots. Determine your 1200 position using the following observations of the Sun.
ZONE TIME GHA DECLINATION Ho
1204 61°54.6' N 19°37.6' 88°39.7'
1210 63°24.6' N 19°37.7' 88°59.2'

    N a. LAT 18°33.6'N, LONG 62°54.3'W
    N b. LAT 18°35.2'N, LONG 62°49.7'W
    N c. LAT 18°38.7'N, LONG 62°59.2'W
    Y d. LAT 18°41.1'N, LONG 62°53.9'W

1021: On 30 March , your 0145 DR position is LAT 29°30'S, LONG 122°45'E. You are on course 055°T at a speed of 22 knots. You observed 3 celestial bodies. Determine the latitude and longitude of your 0600 running fix.

    N a. LAT 28°24.6'S, LONG 124°21.4'E
    Y b. LAT 28°39.9'S, LONG 124°18.6'E
    N c. LAT 28°41.5'S, LONG 124°41.5'E
    N d. LAT 29°20.1'S, LONG 123°41.0'E

1225: You estimate the current at 2.0 mph. What is the speed over the ground?

    N a. 9.5 mph
    Y b. 5.5 mph
    N c. 5.0 mph
    N d. 4.5 mph

1466: On 21 April , your 1542 zone time DR position is LAT 28°54.0'S, LONG 19°07.0'W. At that time, you observe the Sun bearing 299°psc. The chronometer reads 04h 44m 11s, and the chronometer error is 01m 54s fast. The variation is 3°E. What is the deviation of the standard compass?

    Y a. 0.3°W
    N b. 0.4°E
    N c. 2.7°W
    N d. 2.7°E

1492: On 22 February , your 2045 ZT position is LAT 33°19'N,
LONG 52°06'W. You observe Polaris bearing 358.1°pgc. At the time of the observation the helmsman noted that he was heading 048°pgc and 065°psc. The variation is 19°W. What is the deviation for that heading?

    N a. 1°E
    Y b. 3°E
    N c. 1°W
    N d. 3°W

1673: On 17 April , your vessel's position is LAT 21°00'S, LONG 78°30'W, when an amplitude of the Sun is observed. The Sun's center is on the celestial horizon and bears 082.7° per standard magnetic compass. Variation in the area is 2.0°W. The chronometer reads 10h 59m 24s and is 01m 24s fast. What is the deviation of the compass?

    Y a. 2.0°W
    N b. 3.0°W
    N c. 2.5°E
    N d. 3.0°E

1734: You pass Springfield Bend Lt. (mile 244.8 AHP) at 1242, on 17 October, and estimate the current will average 2.5 mph for the remainder of your trip. What is your ETA at the mouth of the Ohio River if you are making turns for 10.5 mph?

    N a. 1905, 19 October
    N b. 0207, 21 October
    Y c. 0519, 21 October
    N d. 0847, 21 October

1834: Which type of daymark would you see on the Belle Island Corner Lt. at mile 458.6 AHP?

    N a. Green diamond
    N b. Green square
    Y c. Red diamond
    N d. Red triangle

1863: On 14 January , your 1922 ZT DR position is LAT 27°18.5'S, LONG 67°18.0'E. You observe an unidentified star bearing 029°T, at an observed altitude (Ho) of 29°35.0'. The chronometer reads 03h 25m 43s and is 03m 15s fast. What star did you observe?

    Y a. Elnath
    N b. Fomalhaut
    N c. Pollux
    N d. Markab

2002: On 16 July , your 1810 zone time DR position is LAT 24°16.5'S, LONG 162°52.0'E. Considering their magnitude,
azimuth, and altitude, which group includes the three bodies best suited for a fix at star time?

    N a. Arcturus, Spica, Antares
    Y b. Jupiter, Alphard, Alphecca
    N c. Pollux, Mars, Deneb
    N d. Vega, Hadar, Venus

2021: On 29 April , your 0300 ZT DR position is LAT 28°39'N, LONG 168°03'E. You are on course 108°T at a speed of 22 knots. Considering their magnitude, azimuth, and altitude, which group includes the three bodies best suited for a fix at star time?

    Y a. Moon, Alpheratz, Polaris
    N b. Deneb, Dubhe, Zubenelgenubi
    N c. Venus, Polaris, Arcturus
    N d. Moon, Altair, Sabik

2279: You observe the lower limb of the Sun at a sextant altitude (hs) of 58°06.6' on 5 April . The index error is 1.0' off the arc. The height of eye is 55 feet (16.8 meters). What is the observed altitude (Ho)?

    N a. 58°14.2'
    Y b. 58°15.8'
    N c. 58°16.9'
    N d. 58°18.1'

2585: At 2000 you plot your position as: LAT 41°11'N, LONG 072°35'W. The set and drift is 095°T at 0.8 knot. What course must you steer, and what engine speed must you turn, in order to make good 255°T at 8.5 knots?

    Y a. 257°T, 9.3 knots
    N b. 253°T, 9.3 knots
    N c. 257°T, 7.7 knots
    N d. 253°T, 7.7 knots

2904: Your vessel is on course 093°T at 15 knots. At 1835 a light bears 136°T, and at 1857 the same light bears 170°T. What was your distance off the light at 1857?

    N a. 6.0 miles
    N b. 6.4 miles
    Y c. 6.8 miles
    N d. 7.2 miles

3064: The propeller of a vessel has a pitch of 19.0 feet. If the vessel traveled 183.5 miles (observed distance) in 24 hours at an average of 44 RPM, what was the slip?

    Y a. +7.4%
    N b. -7.4%
    N c. +11.6%
    N d. -11.6%

3079: If the speed necessary for reaching port at a designated time is 18.2 knots and the pitch of the propeller is 23.9 feet, how many revolutions per minute will the shaft have to turn, assuming a 2% negative slip?

    N a. 70
    N b. 73
    Y c. 76
    N d. 79

3269: Your vessel arrives in port with sufficient fuel to steam 812 miles at 15 knots. If you are unable to take on bunkers, at what speed must you proceed to reach your next port, 928 miles distant?

    N a. 13.6 knots
    Y b. 14.0 knots
    N c. 15.3 knots
    N d. 15.7 knots

3318: While steaming at 12 knots, your vessel burns 45 tons of fuel per day. What will be the rate of fuel consumption if you decrease speed to 11.5 knots?

    N a. 31 tons/day
    N b. 36 tons/day
    Y c. 40 tons/day
    N d. 43 tons/day

3601: You are steering 142°pgc to make good your desired course. The gyro error is 1°E . The variation is 8°W. What should you steer by standard magnetic compass to make good the desired course?
DEVIATION TABLE MAGNETIC HEADING DEV.
120° 4°E 135° 2°E 150° 0°

    N a. 133°psc
    N b. 146°psc
    N c. 148°psc
    Y d. 151°psc

3651: The true course between two points is 337°. Your gyrocompass has an error of 3°E and you make an allowance of 5° leeway for a west wind. Which gyro course should be steered to make the true course good?

    Y a. 329°pgc
    N b. 335°pgc
    N c. 339°pgc
    N d. 345°pgc

3766: Your vessel is proceeding down a channel, and you see a pair of range lights that are in line dead ahead. The chart indicates that the direction of this pair of lights is 229°T, and variation is 6°W. If the heading of your vessel at the time of the sighting is 232° per standard magnetic compass, what is the deviation?

    Y a. 3°E
    N b. 9°E
    N c. 3°W
    N d. 9°W

10105: What is the course psc from Chesapeake Light to North Chesapeake Entrance Buoy NCA?

    N a. 313°psc
    N b. 317°psc
    Y c. 321°psc
    N d. 325°psc

12309: You sight North Dumpling Island Light in line with Latimer Reef Light (LAT 41°18.2'N, LONG 71°56.0'W) bearing 089° per standard magnetic compass. If your vessel was heading 297° per standard magnetic compass at the time, which of the following is TRUE?

    N a. The deviation table is correct for that heading.
    N b. The deviation equals the variation.
    Y c. You should swing your vessel to check the deviation table.
    N d. The compass error is 13°W for all bearings of 089°psc.

13709: Anchorage regulations for this area may be obtained from __________.

    Y a. Office of the Commander 5th Coast Guard District
    N b. Commanding General, Corps of Engineers, Washington, DC
    N c. Virginia - Maryland Pilots Association
    N d. Chesapeake Bay Port Authority, Hampton, VA

14704: At 0800 your vessel is at mile 110 on the Columbia River. Thirty minutes later your vessel is at mile 115. What is your speed in knots?

    N a. 4.3 knots
    N b. 5.7 knots
    N c. 7.8 knots
    Y d. 8.7 knots

15013: At 2020, what is the course to steer to enter the inbound lane of North Chesapeake Entrance traffic separation scheme if a northwesterly wind causes 3° of leeway?

    N a. 227°pgc
    N b. 224°pgc
    Y c. 221°pgc
    N d. 215°pgc

15046: As you pass through the Chesapeake Bay Bridge and Tunnel,
you take a bearing of 047°pgc along trestle C when it is in line. The helmsman reports the vessel's heading as 316°
pgc and 329°psc. What is the deviation on that heading?

    N a. 3°E
    N b. 1°E
    Y c. 1°W
    N d. 9°W

15319: The coastline by Cape Henry is best described as __________.

    N a. rocky with pine scrubs
    Y b. sandy hills about eighty feet high
    N c. low wetlands
    N d. low and thinly wooded with many beach houses

15320: Inbound, the color of Cape Henry Light will __________.

    Y a. change before you reach Chesapeake Channel Lighted Bell Buoy "2C"
    N b. change after you reach Chesapeake Channel Lighted Bell Buoy "2C"
    N c. remain the same
    N d. alternate regardless of your position

15643: The light on Block Island Sound South Entrance Obstruction Buoy "BIS" is reported extinguished. Which of the following will serve as a positive warning that you are being set onto the obstruction?

    N a. Radar ranges to Southwest Point of less than 7.9 miles
    N b. Soundings of less than 50 feet
    N c. Shagwong Reef Lighted Bell Buoy "7SR" 3.1 miles off abeam
    Y d. Race Rock Light bearing 299°T and decreasing

15659: At 0705, you change course to 096°T. At this time, Race Rock Light is bearing 000°T at 0.35 mile. You are now governed by which Navigation Rules?

    Y a. COLREGS
    N b. Local Pilot Rules
    N c. Inland Rules
    N d. Coastal Fishery Rules

15745: Your 2239 position is LAT 41°08.5'N, LONG 71°53.3'W. You change course to 315°T, and you maintain RPM's for 9 knots. At 2329 Little Gull Island Light bears 253°T, Race Rock Light bears 309°T, and Watch Hill Point Light bears 058°T. What were the set and drift of the current you experienced from your 2239 position?

    N a. 076°T at 0.75 knot
    N b. 076°T at 0.90 knot
    N c. 256°T at 0.75 knot
    Y d. 256°T at 0.90 knot

15906: As you enter the New Haven Outer Channel, you sight the range markers in line directly over the stern. Your heading at the time is 155.5° per gyrocompass. What is the gyro error?

    N a. 1.0°E
    N b. 1.0°W
    Y c. 2.0°W
    N d. 0°

16058: At 1750, your position is LAT 37°14.5'N, LONG 76°22.9'W. What was the speed made good between 1730 and 1750?

    N a. 7.5 knots
    N b. 7.8 knots
    N c. 8.1 knots
    Y d. 8.4 knots

16260: If your vessel draws 6.5 feet (2 meters), what is the approximate depth of water under your keel at 0320?

    N a. 52 feet (15.8 meters)
    N b. 48 feet (14.5 meters)
    N c. 44 feet (13.3 meters)
    Y d. 40 feet (12.0 meters)

16409: At 0337, fog closes in and you anchor under the following radar ranges and bearing.

South tip of Watch Hill Point 3.0 miles
East point of Fishers Island 1.4 miles
Latimer Reef Light 331°T

What is the approximate depth of water at your anchorage?

    N a. 83 feet (25.2 meters)
    Y b. 100 feet (30.3 meters)
    N c. 120 feet (36.4 meters)
    N d. 135 feet (40.9 meters)

16619: The shoreline along Rocky Point should give a good radar return because __________.

    N a. the lookout tower is marked with radar reflectors
    N b. of offshore exposed rocks
    N c. submerged reefs cause prominent breakers
    Y d. the shore is bluff and rocky

20106: You are steaming at 22 knots and burning 319 barrels of fuel per day. You must decrease your consumption to 137 barrels per day. What must you reduce your speed to in order to burn this amount of fuel?

    N a. 12.4
    N b. 14.8
    Y c. 16.6
    N d. 18.2