A boat sails from to on a bearing of , then from to on a bearing of . What is the distance , in km, to significant figures?

Answer and explanation

Correct answer: B. 11.7

  1. Step 1: Determine the interior angle : the back bearing from to is . With the bearing of from being , the enclosed angle is .
  2. Step 2: Apply the Law of Cosines on triangle : .
  3. Step 3: Calculate the numerical terms: .
  4. Step 4: Taking the square root gives to 3 significant figures.
Answer
11.7.

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