This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
10 km
Step 1: Identify the given information for the boat's journey. The boat sails from point X directly to point Z. The distance covered during this journey is given as 10 km. The bearing of 078° indicates the direction of travel.
Step 2: Determine the distance XZ. Since the boat sails directly from X to Z for a distance of 10 km, the distance XZ is simply the length of this path.
The distance XZ is .
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Identify the given information for the boat's journey. The boat sails from point X directly to point Z.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.