A surveying team measures two points and separated by a deep ravine. From an observation post , distances are measured as , , and angle . What is the direct distance ?

Answer and explanation

Correct answer: A.

  1. Step 1: Apply the law of cosines: . Compute root: . **Answer: . Why not the others:** is the arithmetic mean of the sides, assumes an equilateral triangle, and adds without the cosine subtraction.

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