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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150 km, bearing .
Here are the solutions to the problems:
: A boat sails 150 km on a bearing of and 250 km due east. How far is the boat from the starting point?
Let O be the starting point, A be the position after the first leg, and B be the final position.
Step 1: Determine the interior angle . The bearing of A from O is . The angle between the North line at O and OA is $4
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Problem 1: A boat sails 150 km on a bearing of 042^ and 250 km due east. How far is the boat from the starting point? Let O be the starting point, A be the position after the first leg, and B be the final position.
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.