A boat sails 150 km on a bearing of 042° and 250 km due east. How far is the boat from the starting point?

Here are the solutions to the problems:

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A boat sails 150 km on a bearing of $042^\circ$ 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.

• OA = 150 km, bearing $042^\circ$.
• AB = 250 km, bearing $090^\circ$ (due east).

Step 1: Determine the interior angle $\angle OAB$.
The bearing of A from O is $042^\circ$.
The angle between the North line at O and OA is $4