he 827 92 92 115 sio 821 in2sin 321 115 SinB Dmo al 1 Soluti

he 82.7 -9.2 9.2. -11,5 sio 82.1 in2sin 321 11.5 SinB D.mo al 1 Solution nstwex for or is 525 e answexor et this

Solution

We have atriangle with angles A , B , C with sides three sides a, b , c opposite to each of the

triangle.Total we have six quantities.So, we have three known values and three unknow values in the

given triangle.We use sine rule to find these unknowns which you are already doing

A = 82.7 deg ; a = 11.5 ; b = 9.2

You have found out angle sinB = 0.7935 ( Re-check your calculation)

B = 52.5 deg

Now we have two angles known A, B and we can find C : C = 180 - (A +B) = 44.78 deg

Now find side c using sine rule:

c/sinC = a/sinA

c = sin44.78*11.5/sin82.7 = 8.17

So, we have all six unknowns