Answer:
Since the lake is an ellipse, AC and BC will be different.
Set your calculator to degree mode.
AC/sin(81°) = 100/sin(51°)
AC = 100sin(81°)/sin(51°) = 127.09 m
BC/sin(48°) = 100/sin(51°)
BC = 100sin(48°)/sin(51°) = 95.62 m
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