Question 728465
{{{drawing( 600, 600, -10, 10, -10, 10, 
         grid(0),
         triangle( 8, 10, 8, 1, 10, 1 ), 
  (locate( 8,10,C)),locate(8.2,1.5,90),locate(8.2,0.7,BA=2),locate(7.8,9.5,20), locate(8,1,B), locate( 10,1,A))) )
)}}}

given:

{{{BA = 2}}}

angle {{{C =20}}} degrees

angle {{{B=90}}} degrees

{{{AC}}} is the hypotenuse

to find: the approximate length of side {{{BC}}}

{{{BA/BC=tan(20)}}}

{{{BC=BA/tan(20)}}}

{{{BC=2/0.3639702342662}}}

{{{BC=5.49495483890928}}}

{{{BC=5.49}}}...so, your answer is (C)