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Precalculus

Course: Precalculus > Unit 2

Lesson 6: Solving general triangles
Math
Precalculus
Trigonometry
Solving general triangles
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General triangle word problems

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Problem

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, point, 0, start text, space, k, m, end text from Yram to a point where she can see both cities. From that point, she measures 29, degree between the cities, as shown. Lastly, she walks 6, point, 0, start text, space, k, m, end text 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, 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, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, k, m, end text
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