Dead Reckoning Have you ever wondered how sailors navigated the oceans before the Global Positioning System (GPS)? One method sailors used is called dead reckoning. How does dead reckoning use mathematics to track locations? Could you use this method today? 1. In nautical navigation, it is common practice to use angle measures in degrees, distances in nautical miles, and speed in knots (nautical miles per hour). The relationship between miles per hour and knots is linear. ( 1knot=1.15078mi/h ) Use this relationship to complete the chart to the nearest tenth of a mile. 2. a. If you are traveling at 8 knots for 45 minutes, how far will you have traveled in nautical miles? b. You have traveled 20 nautical miles in 6 hours. What was your speed in knots? 3. Using the starting position marked as X on the map below, use a ruler and protractor to navigate the ocean. Use a metric nuler as your chart plotter and let I centimeter represent 1 nautical mile when you are plotting. Travel north for 30 minutes at 6knots, and then travel east for 45 minutes at 4knots. Sketch your path and ending location on the map