book Maths Puzzle Numerical Ability

For right ABC, angle A = 33 degrees, c = 14. Find a.

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THE ARE 20 STUDENTS AND THEY NEED TO BE ALLOCATED INTO 3 CLASSROOMS.IN HOW MANY WAYS CAN THIS BE DONE
1.ASSUMING THAT THE STUDENTS ARE IDENTICAL
2.ASSUMING THAT THE STUDENTS ARE DISTINGUISHABLE
Find the irrational roots of the equation x^3-4x^2+2x+1=0