Advanced math question on navigation and trigonometry.?

A ship leaves port and sails for 1 hour to the northwest and then to northeast for 2 hours without changing speeds, finding what course the ship must take to return directly to port. We also find that the return time will be

As the first response that the boat is √ 5 hours from the port. It is also √ 5 hours east of Port. If you drew a picture can be seen that it had a component of western √ 5 in the first stage and an eastern component 2 √ 5 in the second stage giving a result √ 5 East position before turning to return. This gives a right triangle with a hypotenuse of: √ 5 √ and a side of .5 and thus we have the information we need to find the angle of the South West towards the port. The sine of the angle is: sin = √ 5 / √ 5 sin = 3162 that will give you an angle: 18.43 ˚ South West, for a compass heading would have to add this to 180 ˚ to give a measure of: GL 198.4 ˚ ☺ ☺

Annapolis: Sailboat Navigation

Sail Navigation DVD Set $64.94 Sail Navigation DVD Set Sail Navigation DVD SetSSANNADVD Includes: Cruising Under Sail & Sailboat NavigationFeaturing World-renowned sailing expert John Rousmaniere, each program teaches navigation, sailing & seamanship skills with detailed explanations & on-the-water instruction. Teaches:Navigation Sailing & seamanship skills On-the-water instruction

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DVD Powerboat Navigation With John Rousmaniere $37.94 DVD Powerboat Navigation With John Rousmaniere Powerboat Navigation With John RousmaniereHosted by World renowned expert John Rousmaniere. Learn Navigation Rules, Plotting Bearings, Chart & Compass, Radar & GPS & much more! Produced in cooperation with the UNITED STATES COAST GUARD.This program teaches the step-by-step techniques for navigating with both classic dead reckoning piloting and electronic navigation instruments. Clear demonstrations are shown on the water and the simular of a Coast Guard certified navigation school. Detailed close-ups, graphics and imaginative presentations of how objects appear on the chart, radar scope and water are shown in both good and bad visibility. Subjects Covered Include: The chart and compass. GPS satellite navigation. Radar for navigating & avoiding collisions. The navigation rules. Taking & plotting bearings. Allowing for tidal current. Navigating in fog & at night. Tips & tricks for making quick decisions. JOHN ROUSMANIERE, is the author of the highly praised, THE ANNAPOLIS BOOK OF SEAMANSHIP – “The most complete and best reference book on the sport that has ever been available” according to the American Sailing Association. As one of the sports’ most acknowledged authorities, John Rousmaniere has covered more than 30,000 miles of blue water and has written 15 books on boating. Rousmaniere holds a Coast Guard unlimited radar observer certificate.68 min.

DVD Celestial Navigation For Beginners: Sextant Use & Noon Shot $22.94 DVD Celestial Navigation For Beginners: Sextant Use & Noon Shot Celestial Navigation For Beginners: Sextant Use & Noon ShotChapters Covered Include: Latitude & Longitude, Declination & GHA, Nautical Almanac, Geographical Position, GMT and Local Noon Reading The Sextant, Sextant Corrections, The Noon Shot Work Sheet & A Sun Noon Shot.Skipper Gene Grossman starts out right at the beginning by showing that anyone, any age, can use a sextant to navigate. Learn what celestial navigation measures, what the sextant does and how to use the Nautical Almanac. Subjects also covered include: Latitude & Longitude, Declination & GHA, Nautical Almanac, Geographical Position, GMT and Local Noon Reading The Sextant, Sextant Corrections, The Noon Shot Work Sheet & A Sun Noon Shot. The second section features Paul Miller, former instructor at the United States Naval Academy and owner of the California Sailing Academy. He teaches how to hold, adjust, use and read a sextant and takes you through a sun shot at Local Apparent Noon, filling in each line of the worksheet as he goes along. This program is a complete introductory course in Celestial Navigation. Numerous sailors have made ocean crossings, navigating by the Sun Noon Shot. 120 min.

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