Solve for the value of each unknown Round to twodecimal plac

Solve for the value of each unknown. (Round to two-decimal places as needed.) (Round to one decimal place as needed.) (Round to one decimal place as needed.)

Solution

Traingle has one side oppposite angle B =9

                  one side oppposite angle A =6

Now Angle c = 95 deg

Applying cosine rule : c^2 = a^2 +b^2 -2abcosC

= 6^2 +9^2 - 2*6*9cos95

= 36 +81 - 9.41

c = 11.24

Now apply sine sule: a/sinA = c/sinC

sinA = a*sinC/c = 6 *sin95/11.24 =0.531

A = sin^-1(0.531) = 32.12 deg

B = 180 - 95 - 32.12 = 52.88 deg