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Management Topics


The Shortest Path to Your Goals by Josef Martens, PhD, CSP steps. You go for it… Y


Many of us choose this approach as we pursue goals. It seems obvious enough, yet we make a big assumption. The assumption is that the direct path is the shortest (or best) path.


Here is something I have learned


from navigating a sailboat and using nautical maps. Like in other outdoor activities, maps are being used to help you get from point A to point B. The standard type of chart is a so-called Mercator projection. It’s a specific way to take actual land and sea contours from the globe and represent it on a flat map. If you ever tried to flatten a deflated soccer ball, you know that you won’t


46 ❘ December 2019 ®


On a Mercator map, the way the projection is done preserves angles and not distances. This may sound a bit technical, but the great benefit is that you can plot a course on the map, determine the heading (angle to north) and maintain that angle to north (i.e., your compass reading) as you head towards the destination. In short, a straight line on the map represents a fixed compass bearing as you sail.


Quick side remark for the geometry


fans: on a globe, this doesn’t work. On the actual globe, the angle to North changes as you approach your destination in a straight line.


ou have a goal. You consider how to reach it. There seems to be a clear path to it. You define action


be able to get it flat. It leaves wrinkles; you have to compress and stretch it in places. On a map, it leads to distortions.


One of the quirks of a Mercator map


is that a straight line is not the shortest distance. For short sailing turns on the Chesapeake Bay,


this doesn’t matter


much because the difference is small. Yet on a long trip, this matters a lot. Following a straight line as you sail from Florida to France will add hundreds of miles and several days to the trip.


The shortest line between A and B


on a Mercator map is a curve. You may have seen it on a long flight on the in- flight map.


The same is often true in life and


work. The shortest line is curved. The mental map that we have of


the world is also a projection. It’s a projection of reality onto how our mind understands and grasps reality. Have


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