Sundials The Moorish sundial is designed so that the

Chapter 2, Problem 2.1.165

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Sundials The Moorish sundial is designed so that the shadow of the gnomon (the vertical triangular piece) is consistent at each hour from one day to the next. This allows the hours to be marked on the sundial using a single scale that is not affected by the changes in the Sun's path during the year. If the sundial is positioned so that the gnomon is aligned along a longitudinal line from north to south, then at exactly noon the gnomon will cast a shadow due north. N s Figure 7 As the sun moves, the shadow will sweep out an angle toward the east, labeled 8 in Figure 7, called the shadow angle. This angle can be calculated using the formula tan 8 = sin (\' tan (h . 15) where (\' is the latitude of the position of the sundial and h is a number of hours from noon.The latitude of Fargo, North Dakota, is 46.877. Find the shadow angle for a sundial in Fargo at 5:00 p.m. Round to the nearest tenth of a degree.

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