i have solved many problem with this formula and have successfully succeeded. Please dont question me...just substitute the values in correct units and get the answer....
my concept of gradient and angles are far more crystal clear than yours...
a radian expressed in percentage is a gradian
5.2% gradient is 5.2/100 radian
i.e 0.052 x 57.33 = 3 degrees
10% gradient means 10/100 radian
0.1 x 57.33 = 5.7 degrees
so according to the modified simple formula
1.666 x 5.7degrees x 100kts = 949.62
according to the formula given
5 x Grndsp x [5.7/3] = 950
dude go and revise your basic 6th grade maths....