Question 250733
The law of sines states: {{{a/sin A = b/sin B = c/sin C}}} where a,b,c are the lengths of the triangle and A, B, C are the angles opposite the sides.

{{{48/Sin 36 = 72/Sin angle R}}}
{{{72/(48/Sin 36) = Sin angle R}}}
{{{Sin-1 (72*Sin 36/48) =  angle R}}}
{{{61.84=angle R}}}

We know that the interior angles of a triangle always add up to 180 so angle S must be {{{180-36-61.84=82.16}}}

{{{side S/Sin 82.16 = 48/ Sin 36}}}
{{{side S = 48*Sin 82.16/Sin 36}}}
{{{side S = 80.9}}}