Solve word problems that involve general triangles using trigonometry.

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