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How To Calculate Time When Abeam Of The Light


You are steering 163°T and a light was picked up dead ahead at a distance of 11 miles at 0142. You change course to pass the light 2 miles off abeam to starboard. If you are making 13 knots, what will be the time when abeam of the light?



Given:

                   163°T = Course

                 0142H = Time during observation

      11 nm = Distance of the ligh at 0142H

        2 nm = Distance off abeam of the light



What is asked?



            Time when abeam of the light.



Solution:



            Step 1. We have to solve for the distance run to abeam by using Pythagorean theory.



                         Distance = √112 - 22

                                      = √121 – 4

                                      = √117

                                      = 10.8 nm





Step 2. Divide the 10.8 nm by the speed to get the time interval.



                       TI = (10.8 nm ÷ 13 knots) x 60

                           = 49.84 or 50 mins



           

Step 3. Solving for time to abeam of the lighthouse. Add Time Interval to the time during observation.



            0142H

        +     50 min

               92 min

        +1hr-60 min