P and Q are two points a distance 5 m apart at heights 4.4 m and 0.41 m above a given horizontal plane. Given that a particle of speed 9.81 m/ s is projected from the horizontal plane so as to pass through P and Q, what is the value of square of cosine of angle of elevation projected measured from the horizontal plane in fraction m/ n where m and n are co-prime integers?
Given strictly that the gravitational acceleration g is 9.81 m/ s^2, enter a 6 digit's positive integer as answer for n - m.
Note: I think Cosine is better than Sine for obtuse angle. Please do not try any answer which you find not of 6 digits.
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There are golden formulas to be found from this question.