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.


126: 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?


261: You must arrive at your final destination by 0800. The distance from your 0300 position to the final destination is 40.5 miles. What minimum speed must be made good to arrive on time?


383: From point "A", you lay out an intended track line to a point where Block Island North Light bears 180°T at 2.9 miles (Point "B"). What is the length of this leg of the voyage?


391: A vessel at LAT 40°42.0'N, LONG 74°01.0'W, heads for a destination at LAT 14°41.0'N, LONG 17°26.0'W. Determine the true course and distance by Mercator sailing.

    N a. 123°T, 3066.5 miles
    N b. 123°T, 3065.6 miles
    N c. 118°T, 3066.5 miles
    Y d. 118°T, 3365.0 miles

413: A vessel steams 1106 miles on course 249°T from LAT 13°30.0'N, LONG 144°30.3'E. What is the latitude and longitude of the point of arrival by Mercator sailing?

    N a. LAT 07°01.0'N, LONG 127°02.0'E
    Y b. LAT 06°54.0'N, LONG 127°08.0'E
    N c. LAT 06°50.0'N, LONG 127°13.0'E
    N d. LAT 06°46.0'N, LONG 127°17.0'E

519: At 0520 you are on course 243°pgc at 12 knots. What is the course per standard magnetic compass?

    N a. 227°psc
    N b. 233°psc
    N c. 258°psc
    Y d. 262°psc

556: Your 0530 position is LAT 41°04.9'N, LONG 73°01.1'W. What is the course per standard magnetic compass to a position 1.0 mile south of Twenty Eight Foot Shoal "TE" buoy?

    Y a. 099.5°psc
    N b. 096.0°psc
    N c. 092.5°psc
    N d. 082.0°psc

660: You are planning a voyage between Portland, LAT 46°05'N, LONG 124°00'W, and Korea via LAT 44°00'N, LONG 155°00'E. Which statement is TRUE? (Use gnomonic tracking chart WOXZC 5270)

    N a. You can sail a great circle track between the two points.
    N b. The vertex of the great circle track is north of the Aleutian Islands.
    N c. Distance is measured in 60-mile segments using the length of a degree of latitude at the mid-latitude.
    Y d. You can steam on course 270°T, at latitude 52°N, between longitudes 149°W and 160°W in a composite sailing.

727: On 11 February , your 1832 zone time DR position is LONG 110°52.6'W. At that time you observe Polaris with a sextant altitude (hs) of 26°19.8'. The chronometer time of the sight is 01h 34m 56s, and the chronometer error is 02m 16s fast. The index error is 2.7' off the arc, and the height of eye is 60.2 feet. What is your latitude by Polaris?

    Y a. 25°27.2'N
    N b. 25°34.2'N
    N c. 26°27.2'N
    N d. 26°34.2'N

744: On 22 May , at 0440 ZT, your vessel's DR position is LAT 23°24'N, LONG 110°24'W. At approximately this time, you obtain a sextant altitude (hs) of Polaris reading 23°40.9' with an index error of 1.6' on the arc. Your chronometer reads 11h 42m 14s, and is 2m 36s fast. What is your latitude by Polaris, given a height of eye of 24 feet?

    N a. 23°28.6'N
    N b. 23°30.0'N
    Y c. 23°31.2'N
    N d. 23°32.8'N

1127: You are turning for 6.8 mph and estimate the current at 1.0 mph. What is your speed over the ground?

    N a. 6.8 mph
    Y b. 7.8 mph
    N c. 8.8 mph
    N d. 9.4 mph

1224: What is the total length of the trip?

    N a. 906.3 miles
    Y b. 922.3 miles
    N c. 1155.8 miles
    N d. 1187.3 miles

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

1269: At 1400 zone time, on 11 April , your DR position is LAT 25°40'N, LONG 91°00'W. You are steering 180°T at a speed of 10.0 knots. What is your zone time of sunset?

    N a. 1812
    N b. 1816
    N c. 1820
    Y d. 1825

1706: The highest point on your towboat is 53 feet above the water, and the Helena Gage (mile 663 AHP) reads 3.9 feet. What is the vertical clearance when you pass under the B-span of the Helena Highway Bridge in Helena?

    N a. 59.9 feet
    Y b. 62.5 feet
    N c. 64.1 feet
    N d. 65.5 feet

1708: At 0300 on 19 April, you pass under the Greenville Bridge (mile 531.3 AHP). What was your average speed since departing Amoco Pipeline Co. Docks (mile 253.6 AHP)?

    N a. 6.2 mph
    N b. 5.2 mph
    N c. 4.8 mph
    Y d. 4.3 mph

1711: What is the length of the trip?

    N a. 722.0 miles
    N b. 953.8 miles
    Y c. 1097.9 miles
    N d. 1332.1 miles

1900: On 22 May , your 0437 DR position is LAT 25°18.5'N, LONG 51°18.0'W. You observed an unidentified star bearing 233°T at an observed altitude (Ho) of 29°42.3'. The chronometer reads 07h 40m 40s, and is 03m 24s fast. What star did you observe?

    N a. Markab
    N b. Diphda
    Y c. Sabik
    N d. Hamal

1914: On 14 January , your 0550 DR position is LAT 25°26.0'N, LONG 38°16.0'W. You observe an unidentified star bearing 192°T at an observed altitude (Ho) of 06°15.2'. The chronometer reads 08h 48m 51s, and is 01m 22s slow. What star did you observe?

    N a. Gienah
    N b. Kochab
    Y c. Gacrux
    N d. Eltanin

2049: What is the length of the trip?

    N a. 405.8 miles
    Y b. 904.0 miles
    N c. 1002.0 miles
    N d. 1136.8 miles

2090: At your current speed of 17 knots you only have enough fuel remaining to travel 316 miles. You must travel 622 miles to reach your destination. What should you reduce your speed (knots) to in order to reach your destination?

    Y a. 12.1
    N b. 13.3
    N c. 14.5
    N d. 15.7

2120: At 1502 ZT, on 4 August , in DR position LAT 11° 21.6' S, LONG 088° 14.3' E, you observe an amplitude of the Moon. The upper limb of the Moon is on the visible horizon and bears 289° psc. The variation is 15° W. What is the deviation?

    N a. 1.1°E
    Y b. 1.1°W
    N c. 1.9°E
    N d. 1.9°W

2152: On 25 June , at 0612 zone time, morning stars were observed, and the vessel's position was determined to be LAT 28°13.0'S, LONG 49°34.0'E. Your vessel is steaming at 17.0 knots on a course of 066°T. A sextant observation of the Sun's lower limb is made at 1022 zone time. The chronometer reads 07h 19m 17s, and the sextant altitude is 35°26.3'. The index error is 1.5' on the arc, and the chronometer error is 02m 51s slow. Your height of eye on the bridge is 58.0 feet. What is the azimuth (Zn) of this sight using the assumed position?

    Y a. 021.5°T
    N b. 157.5°T
    N c. 201.5°T
    N d. 338.5°T

2669: You are steering 143°T, and a light is picked up dead ahead at a distance of 18.2 miles at 2006. You change course to pass the light 5.5 miles off abeam to port. If you are making 14.5 knots, what is your ETA at a position 5.5 miles off the light?

    N a. 2115
    Y b. 2118
    N c. 2121
    N d. 2124

2881: Your vessel is steering 049°T at 15 knots. At 1914 a light bears 078°T, and at 1951 the same light bears 116°T. What will be your distance off abeam?

    Y a. 6.7 miles
    N b. 7.1 miles
    N c. 7.5 miles
    N d. 8.3 miles

3054: The propeller on a vessel has a diameter of 22.8 feet and a pitch of 19.3 feet. What would be the apparent slip if the vessel cruised 287 miles in a 24 hour day (observed distance) at an average RPM of 67?

    N a. -6.3%
    Y b. +6.3%
    N c. -24.0%
    N d. +24.0%

3071: If the speed necessary for reaching port at a designated time is 20.7 knots and the pitch of the propeller is 23.8 feet, how many revolutions per minute will the shaft have to turn, assuming a 3% negative slip?

    N a. 74
    N b. 79
    Y c. 86
    N d. 98

3082: The speed of advance necessary to arrive in port at a designated time is 15.8 knots. The pitch of the propeller is 20.75 feet. You estimate 5% positive slip. How many RPM must you turn to make the necessary speed?

    N a. 73.5
    N b. 76.2
    N c. 79.9
    Y d. 81.2

3259: You have steamed 607 miles at 17.0 knots, and consumed 121 tons of fuel. If you have 479 tons of usable fuel remaining, how far can you steam at 14.5 knots?

    N a. 1211 miles
    N b. 1748 miles
    N c. 2817 miles
    Y d. 3303 miles

3309: You have steamed 142 miles and consumed 15.0 tons of fuel. If you maintain the same speed, how many tons of fuel will you consume while steaming 472 miles?

    N a. 36.5 tons
    Y b. 49.9 tons
    N c. 53.8 tons
    N d. 61.4 tons

3607: You desire to make good 152°T. The magnetic compass deviation is 4°E, the variation is 5°E, and the gyro error is 3°E. A southwesterly wind produces a 4° leeway. Which course would you steer per standard compass to make good the true course?

    N a. 137°psc
    N b. 141°psc
    N c. 143°psc
    Y d. 147°psc

3771: Two beacons form a range in the direction of 221.5°T. The range is seen in line from your vessel bearing 223° per gyro compass. The variation in the area is 4°E. What is the error of your gyro compass?

    Y a. 1.5°W
    N b. 2.5°W
    N c. 5.5°W
    N d. 2.5°E

10200: YourGPS position is LAT 41°10.0'N, LONG 72°52.5'W. What is the course per standard magnetic compass to a position one mile due south of Falkner Island Light?

    N a. 065°psc
    N b. 081°psc
    Y c. 093°psc
    N d. 097°psc

10905: You wish to anchor and fish in the regulated navigation area in the vicinity of LAT 37°02'N, LONG 76°01'W. Which of the following statements is TRUE?

    N a. Anchoring is prohibited in this area due to the danger of unexploded mines on the bottom.
    N b. You may anchor in this area only in the event of an emergency such as loss of main propulsion.
    Y c. You may anchor in this area if your vessel is less than 65 feet in length or if you have the Captain of the Port's permission.
    N d. Any vessel can anchor without restriction as the regulations only apply to vessels underway.

11304: At 1422 your GPS position is LAT 37°07.5'N, LONG 75°39.1'W. At 1549 your position is LAT 36°57.0'N, LONG 75°41.0'W. What was the course made good between the fixes?

    N a. 185°T
    Y b. 188°T
    N c. 194°T
    N d. 198°T

11308: At 1919 your position is LAT 37°00.0'N, LONG 75°30.0'W. At 2011 your position is LAT 36°59.5'N, LONG 75°44.9'W. What was the speed made good?

    Y a. 13.7 knots
    N b. 12.0 knots
    N c. 11.6 knots
    N d. 10.9 knots

15108: Your 1752 position places you __________.

    Y a. less than 0.5 mile westward of York Spit Channel
    N b. less than 0.5 mile eastward of York Spit Channel
    N c. greater than 0.5 mile westward of York Spit Channel
    N d. greater than 0.5 mile eastward of York Spit Channel

15211: You have just passed York River Entrance Channel Lighted Buoys "13" and "14". The chart shows a light approximately 1.0 mile off your port beam with a light characteristic "Fl 6 sec". What is the name of this light?

    N a. Mobjack Bay Entrance Light
    N b. New Point Comfort Shoal Light
    Y c. York Spit Light
    N d. York River Entrance Channel Light "1"

15367: At 0700, Falkner Island Light bears 023°pgc, and the range to the south tip of Falkner Island is 7.1 miles. What was the course made good since 0615?

    N a. 078°T
    Y b. 081°T
    N c. 084°T
    N d. 087°T

15414: At 2100, you have passed through the Chesapeake Bay Bridge and Tunnel and determine your position to be LAT 37°01.3'
N, LONG 76°03.0'W. The current is flooding in a direction of 303°T at 2.5 knots. Adjusting your course for set and drift, which course would you steer while turning RPMs for 6 knots to make good a course of 175°T?

    Y a. 156°T
    N b. 164°T
    N c. 183°T
    N d. 190°T

15821: What is the distance from the Amoco Pipeline Co. Docks at Baton Rouge, LA, to the mouth of the Ohio River?

    Y a. 700.2 miles
    N b. 727.9 miles
    N c. 953.5 miles
    N d. 981.5 miles

15918: At 1038, you are 0.4 mile south of Long Sand Shoal Buoy "8A" on course 090°T when visibility is reduced to 1 mile in rain and haze. You intend to stay on 090°T until your Loran shows a reading that you can safely follow to the approaches of New London. Which of the following Loran readings will you look for?

    N a. 9960-W-14720
    N b. 9960-X-26290
    Y c. 9960-Y-43980
    N d. 9960-W-14810

15938: At 1910 you obtain the following bearings:

Bartlett Reef Light 268°T
Race Rock Light 147°T
Little Gull Island Light 198°T

Which of the following is your position at 1910?

    N a. LAT 41°17.4'N, LONG 72°05.6'W
    N b. LAT 41°17.0'N, LONG 72°07.1'W
    Y c. LAT 41°16.6'N, LONG 72°04.6'W
    N d. LAT 41°16.2'N, LONG 72°06.4'W

16359: If your engines are turning for 6.5 knots and the estimated current is north at 0.5 knot. What is the ETA at point "A"?

    Y a. 0511
    N b. 0501
    N c. 0450
    N d. 0440

16506: At 0630, you pass Buoy "PI" close abeam on the starboard side. You are steering 078°T and are headed directly toward Race Rock Light. At 0654, Little Gull Island Light is bearing 207°T and Race Rock Light is bearing 072°T. What is your 0654 position?

    Y a. LAT 41°14.0'N, LONG 72°05.3'W
    N b. LAT 41°14.2'N, LONG 71°54.6'W
    N c. LAT 41°14.4'N, LONG 72°06.8'W
    N d. LAT 41°19.0'N, LONG 72°05.2'W

16538: At 2216 your position is LAT 41°16.0'N, LONG 72°08.0'W. Which statement is TRUE?

    Y a. You are in the red sector of New London Harbor Light.
    N b. Your fathometer reads approximately 40 feet.
    N c. You will cross the Colregs Demarcation Line if you continue on your present course.
    N d. Little Gull Island Light bears 339°T at 4.3 miles.

16544: At 2347 you are advised that your assistance is no longer needed. At 2350 you change course to make good 268°T. At 0015 you take the following round of bearings:
Kelsey Point Breakwater light 024°pgc
Horton Point Light 100°pgc
Falkner Island Light 333°pgc

At 0030 Falkner Island Lt. bears 000°T at 5.9 miles.

What is the course and speed made good between 0015 and 0030?

    N a. CMG 262°T, SMG 10.4 knots
    N b. CMG 268°T, SMG 10.8 knots
    N c. CMG 268°T, SMG 10.4 knots
    Y d. CMG 272°T, SMG 10.8 knots

16544: At 2347 you are advised that your assistance is no longer needed. At 2350 you change course to make good 268°T. At 0015 you take the following round of bearings:
Kelsey Point Breakwater light 024°pgc
Horton Point Light 100°pgc
Falkner Island Light 333°pgc

At 0030 Falkner Island Lt. bears 000°T at 5.9 miles.

What is the course and speed made good between 0015 and 0030?

    N a. CMG 262°T, SMG 10.4 knots
    N b. CMG 268°T, SMG 10.8 knots
    N c. CMG 268°T, SMG 10.4 knots
    Y d. CMG 272°T, SMG 10.8 knots

16562: At 1850, you obtain the following bearings and distance:

Block Island North Light 085°T
Watch Hill Light 342°T 5.8 miles

What true speed did you make good between 1830 and 1850?

    N a. 2.9 knots
    N b. 5.7 knots
    Y c. 8.0 knots
    N d. 8.7 knots