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応用範囲がほとんどないので
 求める式を覚えた方が早いと思います。

北半球の南中高度
●春・秋の南中高度=90-緯度
  夏はこれに、+23.4
  冬はこれに、-23.4

この場合は
  (90-35.7)+23.4
 =54.3+23.4
 =77.7

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