Solve word problems that involve general triangles using trigonometry.
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Problem

Lucy has two star systems left to visit on her voyage, but her ship is running low on fuel. The first system, KA-7, is 1200 light years left parenthesis, l, point, y, point, right parenthesis away while the second system, KA-11, is 1700, space, l, point, y, point.
Her top priority is to visit star system KA-7. To determine if she'll also be able to visit KA-11, she must find the distance between KA-7 and KA-11.
If Lucy sees an angle of 52, degree between KA-7 and KA-11, how far are KA-7 and KA-11 apart?
Do not round during your calculations. Round your final answer to the nearest light year.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
l, point, y, point