Calculating Torpedo Angle & Travel Time to Hit Carrier 5 Miles N

rastakitty
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need help.. carrier 5 miles N of sub traveling E @ 3mins/hr. sub has torpedoe travel @ 40 knots. what is the angle and distance travel of torpedoe to hit carrier, what is travel time . with respect to original sighting
 
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pythagorean theorem gives quadratic equation in lengths. then diff lengths wrt t.
 
Obviously a homework problem, obviously no work shown.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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