Sammy squirrel is steering his boat at a heading of 327 degree at 18mph. the current is flowing at 4mph at a heading of 60 degrees. find sammy's course.

Explanation:

To find Sammy's course you have to add the two velocities (vectors), 18 mph 327º and 4 mph 60º.

To add the two vectors analytically you decompose each vector into their vertical and horizontal components.

1. 18 mph 327º

2. 4 mph 60º

3. Addition:

You add the corresponding components:

To find the magnitude use Pythagorean theorem:

4. Direction:

Use the tangent ratio:

Find the inverse:

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.