Question 606299
The area of a triangle ABC with sides a,b,c is given by the formula,

Area= 1/2*a*b*SinC = 1/2*b*c*SinA = 1/2*a*c*SinB

so here we have , 1/2*10*8*SinP = 30

                 => 40 SinP = 30
                 => SinP = 3/4
                 => P = {{{(Sin)^(-1)(3/4)}}}
                 
                  So P = 48.59 degrees (approx)