Editing Talk:1964: Spatial Orientation
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The “line segment” (actually an arc) along Earth’s surface between A and B lies along the solar plane, since A and B are both on the solar plane. Since shortest distances are found using a perpendicular, the arc from B to C is perpendicular to this. So, A, B, and C form a sort of right triangle on the surface of the Earth. The angle between AB and AC is equal to the Earth’s orbital tilt of about 23 degrees. The distance AC is 39 degrees (that is, 39/360 of the Earth’s circumference). Since AC is the hypotenuse, the cosine of 23.4 degrees must equal BC over AC, so BC equals cos(23.4 degrees) times 39. This yields 35.8 degrees, an approximation for the angle between Cueball and the solar plane. [[Special:Contributions/108.162.216.190|108.162.216.190]] 22:30, 10 March 2018 (UTC) | The “line segment” (actually an arc) along Earth’s surface between A and B lies along the solar plane, since A and B are both on the solar plane. Since shortest distances are found using a perpendicular, the arc from B to C is perpendicular to this. So, A, B, and C form a sort of right triangle on the surface of the Earth. The angle between AB and AC is equal to the Earth’s orbital tilt of about 23 degrees. The distance AC is 39 degrees (that is, 39/360 of the Earth’s circumference). Since AC is the hypotenuse, the cosine of 23.4 degrees must equal BC over AC, so BC equals cos(23.4 degrees) times 39. This yields 35.8 degrees, an approximation for the angle between Cueball and the solar plane. [[Special:Contributions/108.162.216.190|108.162.216.190]] 22:30, 10 March 2018 (UTC) | ||
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