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Use Pythagoras' theorem: Each leg is about 14.14213562 units in length.
If a right angle triangle is formed then it is 36/tan(58) = 22.5 feet rounded
The short side will be opposite the 30 degree angle. The longer leg is 10*sqrt(3) = 17.32 and the hypotenuse is 20.
Well I think that you can use your calculations of angles and things like that to increase the speed of the skater. Like, let's say that the skaters leg was coming out at a 40 degree angle and to go faster he would have to make his leg go out at a 90 degree angle.
That will depend upon the statements of which none have been given about a right angle triangle.