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.


159: You are turning for 6.8 mph and estimate the current at 1.0 mph. What is your speed over the ground?


285: At 1845, you plot the following bearing lines:

Old Plantation Flats Light bearing 251°true
New Point Comfort Light bearing 335°true

Your latitude is __________.


299: At 1930, your vessel is between York River Entrance Channel Lighted Buoys "1YR" and "2". From this position, you change course to 142°pgc at an engine speed of 8.0 knots. At 2001, you obtain the following information:

Chesapeake Channel Tunnel North Light - 131°pgc; Thimble Shoal Light - 248°pgc

What were the set and drift between 1930 and 2001?


351: At 0430, you change course and speed to make good 090°T at 10 knots. At 0433, you slow due to an engineering casualty and estimate you are making good 5.5 knots. At what time will Branford Reef Light bear 000°T?

    N a. 0624
    N b. 0620
    Y c. 0609
    N d. 0601

388: From your 0745 fix, you change course to pass 1.0 mile south of buoy "WH" and estimate your speed at 7 knots. If the visibility clears, what is the earliest time you can expect to see Block Island North Light tower?

    N a. 0845
    N b. 0838
    Y c. 0807
    N d. 0750

412: A vessel steams 1650 miles on course 077°T from LAT 12°47'N, LONG 45°10'E. What is the latitude and longitude of the point of arrival by Mercator sailing?

    N a. LAT 18°54'N, LONG 72°58'E
    Y b. LAT 18°58'N, LONG 72°52'E
    N c. LAT 19°02'N, LONG 72°44'E
    N d. LAT 19°06'N, LONG 72°36'E

460: Determine the great circle distance and initial course from LAT 35°27.0'N, LONG 140°20.5'E to LAT 47°51.0'N, LONG 122°51.0'W.

    N a. 4087 miles, 036°T
    Y b. 4115 miles, 045°T
    N c. 4122 miles. 076°T
    N d. 4136 miles, 076°T

479: The great circle distance from LAT 24°25.3'N, LONG 83°02.6'W to LAT 35°57.2'N, LONG 5°45.7'W is 3966.5 miles. Determine the latitude of the vertex.

    N a. 38°46.2'N
    N b. 38°16.4'N
    Y c. 38°09.4'N
    N d. 37°57.3'N

563: At 0705, the gyro loses power. At 0715, you are on course 092° per standard magnetic compass (psc) when you take the following bearings: Falkner Light bears 356°psc, Horton Point Light bears 123°psc, and Kelsey Point Breakwater Light bears 048°psc. What is the position of your 0715 fix?

    N a. LAT 41°06.7'N, LONG 72°36.0'W
    Y b. LAT 41°07.0'N, LONG 72°36.2'W
    N c. LAT 41°07.2'N, LONG 72°36.4'W
    N d. LAT 41°07.4'N, LONG 72°36.4'W

606: At 0915 zone time, on 11 May , you depart Yokohama, LAT 35°27.0'N, LONG 139°39.0'E (ZD -9). You are bound for Seattle, LAT 47°36.0'N, LONG 122°22.0'W, and you estimate your speed of advance at 19.5 knots. The distance is 4,276 miles. What is your estimated zone time of arrival at Seattle?

    Y a. 1932, 19 May
    N b. 0332, 20 May
    N c. 1032, 20 May
    N d. 1232, 20 May

1135: The low water reference plane (LWRP) for Bayou Sara is 5.25 feet. If the Bayou Sara Gage reads -0.5 feet, what is the water level in relation to the low water reference plane?

    N a. 4.75 feet above the plane
    N b. 5.75 feet above the plane
    Y c. 5.75 feet below the plane
    N d. 4.75 feet below the plane

1175: On 12 February , your 0900 zone time DR position is LAT 16°43.0'N, LONG 51°42.0'W. Your vessel is on course 093°T at a speed of 18.5 knots. What is the zone time of local apparent noon (LAN)?

    Y a. 1237
    N b. 1233
    N c. 1230
    N d. 1226

1262: On 27 September , your 0345 ZT DR position is LAT 26°18.0'S, LONG 4°18.0'W. You are on course 271°T at a speed of 15 knots. What will be the zone time of sunrise at your vessel?

    N a. 0525
    N b. 0545
    N c. 0555
    Y d. 0605

1423: You pass Ratcliff Light (mile 289.8) at 1650. What was your average speed since leaving Baton Rouge?

    N a. 7.3 mph
    Y b. 7.6 mph
    N c. 8.0 mph
    N d. 8.3 mph

1537: What is your clearance as you pass under the Vicksburg Highway 80 Bridge (mile 437.8 AHP). if the Vicksburg Gage reads 14.8 feet and the highest point on your tow boat is 44.5 feet?

    N a. 36 feet
    N b. 42 feet
    N c. 48 feet
    Y d. 57 feet

1878: On 13 September , your 1830 ZT DR position was LAT 23°03'S, LONG 105°16'E when you observe a faint unidentifiable star through a hole in the clouds. The star bore 132.3°T at a sextant altitude (hs) of 29°34.6'. The chronometer read 11h 24m 39s and is 5m 08s slow. The index error is 1.0' off the arc, and the height of eye is 52 feet. What star did you observe?

    Y a. Beta Gruis
    N b. Sigma Capricorni
    N c. Scheat
    N d. Alpha Indi

2103: On 24 August , in DR position LAT 26°49.4'N, LONG 146°19.4'E, you observe an amplitude of the Sun. The Sun's center is on the celestial horizon and bears 084°psc. The chronometer reads 07h 55m 06s and is 01m 11s fast. Variation in the area is 15°W. What is the deviation of the magnetic compass?

    N a. 8.0°E
    Y b. 8.3°E
    N c. 8.5°E
    N d. 8.7°E

2115: The south coast of Long Island Sound between Mattituck Inlet and Port Jefferson is __________.

    N a. composed of high rocky bluffs
    N b. a high, flat plateau with sheer cliffs
    Y c. fringed by rocky shoals
    N d. low and marshy with isolated beaches

2169: At 0600 ZT, on 24 July , your DR position is LAT 22°37'N, LONG 32°45'W. You are steering 185°T at a speed of 20.0 knots. Determine the computed altitude (Hc) and azimuth (Zn) for an observation of the Sun's lower limb taken at 1030 ZT. At this time the chronometer reads 00h 30m 16s and is 0m 31s slow.

    N a. Hc 64°27.5' Zn 092.3°
    N b. Hc 64°30.8' Zn 090.1°
    Y c. Hc 64°41.7' Zn 087.8°
    N d. Hc 64°44.2' Zn 094.7°

2176: On 9 November , at 0426 ZT, your position was LAT 25°17.0'S, LONG 154°16.0'E. Your vessel is steaming at 14.0 knots on course 066°T. A sextant observation of the Sun's lower limb is made at 0837 ZT. The chronometer reads 10h 35m 21s, and the sextant altitude (hs) is 50°26.9'. The index error is 1.5' on the arc, and the chronometer error is 01m 48s slow. Your height of eye on the bridge is 56.0 feet. What is the observed altitude (Ho) and azimuth (Zn) of this sight using the assumed position?

    N a. 50°18.1', 086.3°T
    N b. 50°18.1', 093.7°T
    Y c. 50°33.5', 085.9°T
    N d. 50°33.5', 093.7°T

2292: In addition to those found in the Coast Pilot, information concerning anchorage regulations for this area may be obtained from __________.

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

2403: At 0812 you obtain the following information:

Chesapeake Light bearing 091° true @ a range of 10.5 nm

What is your 0812 position?

    N a. LAT 36°53.7'N, LONG 75°56.0'W
    N b. LAT 36°53.8'N, LONG 75°56.1'W
    Y c. LAT 36°54.4'N, LONG 75°55.9'W
    N d. LAT 36°54.6'N, LONG 75°55.8'W

2588: At 2130 New Haven buoy "NH" bears 337° per gyro compass and Middle Ground Lt bears 254° per gyro compass. You must arrive 0.3 miles off Port Jefferson buoy "PJ" at 2300. What speed will you have to make good, for arrival at 2300?

    N a. 9.0 knots
    Y b. 9.3 knots
    N c. 9.6 knots
    N d. 10.7 knots

2870: Your vessel is on a course of 126°T at 17 knots. At 0251 a light bears 099.5°T, and at 0313 the light bears 081°T. At what time and at what distance off will your vessel be when abeam of the light?

    N a. 0327, 4.4 miles
    Y b. 0335, 6.2 miles
    N c. 0345, 6.8 miles
    N d. 0351, 7.4 miles

2885: Your vessel is steering 194°T at 13 knots. At 0116 a light bears 243°T, and at 0147 the same light bears 267°T. What will be your distance off abeam?

    N a. 11.2 miles
    N b. 11.6 miles
    Y c. 12.0 miles
    N d. 12.5 miles

3051: The propeller on a vessel has a diameter of 20.6 feet and a pitch of 23.4 feet. What would be the apparent slip if the vessel cruised 538 miles in a 24 hour day (observed distance) at an average RPM of 87?

    Y a. -11.6%
    N b. +11.6%
    N c. -10.3%
    N d. +10.3%

3055: The propeller on a vessel has a diameter of 24.6 feet and a pitch of 26.1 feet. What would be the apparent slip if the vessel cruised 462 miles in a 24 hour day (observed distance) at an average RPM of 72?

    N a. -2.7%
    N b. +2.7%
    Y c. -3.8%
    N d. +3.8%

3105: You are turning 82 RPM, with a propeller pitch of 23 feet, and an estimated slip of +6%. What is the speed of advance?

    Y a. 17.5 knots
    N b. 17.9 knots
    N c. 18.4 knots
    N d. 19.7 knots

3109: You are turning 90 RPM, with a propeller pitch of 24 feet, and an estimated slip of -3%. What is the speed of advance?

    N a. 18.8 knots
    N b. 19.2 knots
    N c. 20.6 knots
    Y d. 21.9 knots

3264: You have steamed 1134 miles at 10 knots, and consumed 121 tons of fuel. If you have to steam 1522 miles to complete the voyage, how many tons of fuel will be consumed while steaming at 12 knots?

    N a. 146 tons
    N b. 189 tons
    N c. 200 tons
    Y d. 234 tons

3311: You have steamed 162 miles and consumed 14.0 tons of fuel. If you maintain the same speed, how many tons of fuel will you consume while steaming 285 miles?

    Y a. 24.6 tons
    N b. 34.7 tons
    N c. 43.3 tons
    N d. 54.8 tons

3319: You are taking a time tick using the 2000 signal from Kekaha-Kauai, Hawaii (WWVH). You hear a series of 1 second dashes followed by a 9 second silent period, then a long 1.3 second dash. At the beginning of the long dash, your comparing watch reads 08h 00m 12s. When compared to the chronometer, the comparing watch reads 08h 01m 22s, and the chronometer reads 07h 59m 39s. What is the chronometer error?

    N a. 0m 12s fast
    N b. 1m 10s fast
    N c. 0m 21s slow
    Y d. 1m 31s slow

3614: The true course between two points is 057°. Your gyrocompass has an error of 3° east and you make an allowance of 1° leeway for a north-northwest wind. Which gyro course should be steered to make the true course good?

    Y a. 053°pgc
    N b. 056°pgc
    N c. 059°pgc
    N d. 060°pgc

4015: You swung ship and compared the magnetic compass against the gyro compass to find deviation. Gyro error is 2°W. The variation is 8°W. Find the deviation on a true heading of 319°.
HEADING HEADING HEADING
PSC PGC PSC PGC PSC PGC
358.5° - 354° 122.5° - 114° 239.5° - 234°
030.5° - 024° 152.0° - 144° 269.0° - 264°
061.5° - 054° 181.0° - 174° 298.0° - 294°
092.0° - 084° 210.0° - 204° 327.5° - 324°

    N a. 0.5°E
    N b. 1.0°W
    Y c. 2.5°E
    N d. 2.5°W

10509: At 0919 your position is LAT 37°00.0'N, LONG 75°30.0'W. You are on course 270°T at 7.8 knots. At 1035 your position is LAT 37°00.5'N, LONG 75°43.8'W. What was the set and driftt?

    N a. 281° at 0.7 knot
    Y b. 292° at 1.0 knot
    N c. 305° at 1.3 knots
    N d. 113° at 1.2 knots

12607: You are on course 240° per standard magnetic compass when you take the following bearings: Old Field Point Light 253°psc New Haven Light 357°psc Mattituck Inlet Light 126°psc What is your position?

    N a. LAT 41°04.5'N, LONG 72°49.2'W
    N b. LAT 41°05.7'N, LONG 72°50.2'W
    Y c. LAT 41°05.9'N, LONG 72°53.1'W
    N d. LAT 41°08.6'N, LONG 72°53.5'W

13504: A vessel anchoring in the middle of Cherry Harbor, 1 mile off Gardiner's Island, will find what type of bottom?

    N a. Rocky
    N b. Shells
    Y c. Mud
    N d. Silt

15029: What type of daymark will you see as you approach Gold Dust Bar Light (mile 793.3 AHP) ?

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

15106: The National Weather Service provides 24 hour weather broadcasts to vessels transiting the Chesapeake Bay Bridge Tunnel area on which frequency?

    N a. 147.45 MHz
    Y b. 162.55 MHz
    N c. 181.15 MHz
    N d. 202.35 MHz

15107: At 1752, your position is LAT 37°04.3'N, LONG 76°06.4'W. On a flood current you should expect to be set to the __________.

    Y a. north northwest
    N b. south southwest
    N c. east southeast
    N d. east

15170: From your 2123 position, you are approximately 42 miles from Crisfield, MD. If you are making good a speed of 11 knots, at what time should you arrive at Crisfield, MD?

    N a. 2359
    N b. 0037
    Y c. 0112
    N d. 0149

15242: From your 1155 position, you steer a course of 282°T at a speed of 9.5 knots. You obtain the following bearings:

1205: Falkner Island Light bears 318°T
1225: Falkner Island Light bears 355°T

Your 1225 running fix is __________.

    N a. north of your intended track
    N b. 3.1 miles SSW of Falkner Island Light
    N c. ahead of the DR position
    Y d. south of your intended track

15627: What is the vertical clearance of the Natchez Highway Bridge (westbound) when the river level is the same as the Low Water Reference Plane (6.1 ft)?

    N a. 102.2 ft
    N b. 108.3 ft
    Y c. 119.4 ft
    N d. 125.6 ft

15630: The area between Island 67 Upper Light (mile 623.1 AHP) and Sunflower Cut-off Foot Light (mile 624.8 AHP) is known as a __________.

    N a. transit
    N b. chute
    Y c. crossing
    N d. slough

15645: You round Montauk Point and steer to make good 206°T. Speed is increased to 13.0 knots. The current, if any, is unknown. The visibility has improved and is estimated to be 5 miles. At 2144 Montauk Point Light bears 273°T. At 2202 the same light bears 320°T. Which statement concerning your 2202 running fix is TRUE?

    N a. You are inside the lobster pot area.
    Y b. The fathometer reads about 12 fathoms.
    N c. You are inside of the 90 foot curve.
    N d. You are outside the boundary of the Territorial Sea and Contiguous Zone.

15715: Little Gull Island Light is __________.

    N a. lighted only during daytime when the sound signal is in operation
    N b. maintained only from May 1 to Oct 1
    Y c. lighted throughout 24 hours
    N d. obscured by trees from 253° to 352°

15817: The south coast of Long Island Sound between Mattituck Inlet and Port Jefferson is __________.

    N a. composed of high rocky bluffs
    N b. a high, flat plateau with sheer cliffs
    Y c. fringed by rocky shoals
    N d. low and marshy with isolated beaches

15839: From your 2000 position you change course to 206°T. What time would you expect to be abeam of Hog Island Buoy "12"?

    N a. 2021
    Y b. 2026
    N c. 2031
    N d. 2040

15842: From your 2030 fix you change course to 195°T, and leave the engine speed at 14 knots.
At 2045, Your position is L 37° 13.50'N Long 075° 38.05' W


Which statement is TRUE?

    Y a. Cape Charles Light bears 050° relative.
    N b. Chesapeake Light bears 190° relative.
    N c. Your fathometer reading is approximately 40 fathoms.
    N d. Your vessel is located in a restricted area.

15870: What is the approximate distance from a point three miles south of Stratford Point to Perth Amboy, NJ?

    N a. 53 miles
    N b. 62 miles
    Y c. 73 miles
    N d. 136 miles

16119: At 0812, you obtain the following radar information:

Cape Henry Light bearing 287° pgc @ 3.85 nm

What is your 0812 position?

    N a. LAT 36°53.7'N, LONG 75°56.0'W
    N b. LAT 36°53.8'N, LONG 75°56.1'W
    N c. LAT 36°54.5'N, LONG 75°56.2'W
    Y d. LAT 36°54.6'N, LONG 75°55.8'W

16362: The visibility is about 5 miles. Which statement about Cape Charles Light is TRUE?

    N a. The light has been visible from the time you departed the anchorage.
    Y b. You should see Cape Charles Light at about 0400.
    N c. The light will become visible when you enter the inbound leg of the traffic separation scheme.
    N d. The light will not be visible until you are within 5 miles of the light.

16839: At 0800 you reduce speed from sea speed. Speed was reduced by the time you passed abeam of Cape Charles Lighted Bell Buoy "12" at 0814. At this time Buoy "12" was abeam on your starboard side at a distance of 0.65 mile. Assuming you continue to make good your course of 202°T, what is your new speed if you pass abeam of Cape Charles Lighted Bell Buoy "14" at a distance of 1.5 miles at 0907?

    N a. 13.6 knots
    Y b. 12.9 knots
    N c. 12.3 knots
    N d. 12.0 knots