General triangle word problems

Solve word problems that involve general triangles using trigonometry.
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"How are we ever going to build this bridge?" asks Omkar looking out across the raging river.
"Let's start by finding the distance to the big rock on the other side." Melissa replies. Moving 100 meters along the river, Melissa looks back and measures the angle between Omkar and the big rock: 33, degree.
Melissa then instructs Omkar to measure the angle between Melissa and the big rock. From his vantage point, Omkar sees an angle of 98, degree between Melissa and the big rock.
What is the distance across the river from Omkar to the big rock?
Do not round during your calculations. Round your final answer to the nearest meter.
  • 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
space, m