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General triangle word problems

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The dwarf queen wants to build a tunnel between her cities Yram and Haras.
To plan the tunnel's length, the queen first walks 7.0 km from Yram to a point where she can see both cities. From that point, she measures 29° between the cities, as shown. Lastly, she walks 6.0 km to Haras.
What is the length of the tunnel?
Do not round during your calculations. Round your final answer to the nearest tenth of a kilometer.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi