Sammy squirrel is steering his boat at a heading of 310 degrees at 5mph. The current is flowing at 2mph at a heading of 110 degrees. Find Sammy's course.

Sammy's course is 3.19 mph at a heading of 322.36°

Step-by-step explanation:

To solve this problem we need to calculate a sum of vectors.

We can calculate this sum decomposing both vectors in their horizontal and vertical component, and then we sum the components:

First vector: module 5, direction 310°

Second vector: module 2, direction 110°

Resultant vector:

Now, to go back to the polar form, we can use the following procedure:

So Sammy's course is 3.19 mph at a heading of 322.36°

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