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General triangle word problems

Denis, Vera, and Yash are rock climbers. Yash is connected to Vera by a 30 m30\,\text{m} rope, which is taut, and Vera is connected to Denis by a 25 m25\,\text{m} rope, which is also taut.
Yash has already completed the climb, and he takes out a camera to take a picture of his friends.
If Denis sees an angle of 41∘41^\circ between Vera and Yash, what field of view would Yash's camera need to fit both of his friends in the same shot?
Do not round during your calculations. Round your final answer to the nearest degree.
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
∘^\circ