Unless you're in the workshop and a voice calls out, "Rick! Take out the trash please!"
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Your formula takes into acount the two way distance for sound. I know that sound travels faster at higher altitudes - do you know if the difference is significant?
As I understand it, it has to do with the density of the air. Sound will travel faster in drier air. Since higher altitude is generally colder (therefore drier) the sound will travel faster. The same is true of desert air. I don't know the difference in speed. That's part of the reason I tossed in the "relative" location in the post because the weather, altitude and location can make a difference in the speed. Regardless, it still provides a good rule of thumb if you happen to be lost in bad weather or at night.
Here's a little trick that might help you. Since not many trails lay in a straight line, you can use your snare wire to lay out the curving route you've taken on your map then straighten it out and check it against the scale on the map to find out how far you've traveled. It will probably be more accurate than trying to add up a bunch of small numbers.
I just thought I'd bump this thread for the new folks.
Take a bearing on your compass before ever leaving camp or your vehicle so you know exactly which direction you left on! A lot of times you may not even know what direction you left in if you are not totally familiar with your surroundings. This is one of the most important things you can do. It is hard to find your way back, if you dont know which direction you came from!
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