A practice area defined by latitude and longitude only. The tool knows nothing of the chart's features.

Dead reckoning, Block Island Sound

Dead reckoning, 3 legs

At 0545 your position is 41° 08.7' N, 071° 41.1' W. You steer 315° T at 10.5 knots until 0605, then 255° T at 10.5 knots until 0625, then 000° T at 10.5 knots until 0640. No current is known.

Find your 0640 DR position.

Position at 0545
41° 08.7' N, 071° 41.1' W
Leg 1, 0545 to 0605
315° T, 10.5 knots
Leg 2, 0605 to 0625
255° T, 10.5 knots
Leg 3, 0625 to 0640
000° T, 10.5 knots
  • 0640 DR position: within 0.3 mile of the answer

Practice only, not for navigation. Code BIS-DR-C29HO

Your answer

0640 DR position

Degrees and decimal minutes, for example 41 12.3 N and 71 44.0 W. With no letter, latitude is read as north and longitude as west. Graded within 0.3 mile of the answer.

Worked solution

Plot it on your chart or a plotting sheet with dividers and parallel rules, type what you measure, then check. The worked steps and a drawing of the plot appear here.

Open a problem by its code

Printed under every problem, for example BIS-DR-0B7Q4. The same code always gives the same numbers.

What the problems are based on

Every problem is generated by this site's engine from latitude and longitude, courses, speeds, times, current, variation and deviation stated in the problem. It names no charted light, buoy, landmark or depth. Mercator sailing with meridional parts on a sphere; one nautical mile is one minute of latitude; current set is the direction the water flows toward; easterly variation and deviation are positive.

The working areas are latitude and longitude boxes we drew over open water. The tool does not know the chart's features, so a generated track is a number exercise and never a safe route.

A real chart plot module also asks for bearings of charted lights, buoys and landmarks, fixes from three bearings on charted objects, course to steer allowing for leeway as well as current, and chart reading questions (bottom type, bridge clearance, tides and the Coast Pilot). This tool covers none of those; it drills the calculation and plotting skills underneath them.

Dead reckoning, course and distance, and speed, time and distance problems are free without limit, each with its worked solution. Premium adds current, compass conversion and running fix (an extra) problems, the timed ten question mock, printable sets with answer keys and the weak-area summary.

Tolerances

Position
within 0.3 mile of the answer
Course or bearing read from the chart
within 2 degrees
Compass conversion
within 1 degree
Deviation
within 1 degree, named east or west correctly
Set of the current
within 5 degrees
Distance
within 0.2 mile
Speed, speed made good or drift
within 0.2 knot
Time of day
within 3 minutes

Rounding

  • Positions to 0.1 minute of latitude and longitude
  • Courses, bearings, headings and set to the whole degree
  • Distances to 0.1 mile, speeds and drift to 0.1 knot
  • Times on a 24 hour clock to the minute
  • Deviation read between table entries to 0.1 degree
  • Answers are worked from the givens as printed, and graded against the unrounded result

Working areas

Each working area is a practice area defined by latitude and longitude only. The tool knows nothing of the chart's features inside it: depths, shoals, wrecks, channels, anchorages, traffic lanes, restricted areas, lights and buoys.

The formulas, step by step: how the chart plot problems are worked. Counting sea time for the same license? Open your sea time log or read OUPV vs Master sea time.